It is because you do not understand the qualities of a New Testament-based church that you keep barking your shins on the issue of the government of "Baptists" versus that of top-down denominations (of which yours is only one).
There are many, many more Baptists than those subscribing to the advantages of mass purchasing, advertising, publication, and education like the Southern Baptist Convention. This Convention is not a "Church." It is not of a "top-down" government headed by an autocratic figurehead. It is an association of autonomous local assemblies who have decided to share a common statement of faith, and the power of numbers.
However, in the U. S. there are other such Associations like the General Association of Regular Baptists, the Conservative Baptist Association, the Seventh Day Baptists, and many more. Globally, Wiki lists many:
https://en.wikipedia.org/wiki/List_of_Baptist_denominations
In addition, there are thousands of totally local, independent, autonomous church bodies named "Baptist" that acknowledge no interlinking other than love of Christ, the Scriptures, and the brethren. And there are many more immersionist assemblies that only refer to themselves as autonomous Bible Assemblies. One such would be the conference of brethren after the style of those meeting in Plymouth, of which John N. Darby was a proponent.
But those who call themselves baptists have certain defining distinctives in common, that set them apart from the Catholic denomination or its Reformer Protestants, and they are as follows:
===== Baptist "Distinctives" =====
- - - - - in a nutshell: - - - - -
o Biblical Authority (Sola Scriptura)
The Bible is the final authority in all matters of belief and practice because the Bible is inspired by God and bears the absolute authority of God Himself. Whatever the Bible affirms, Baptists accept as true. No human opinion or decree of any church group can override the Bible. Even creeds and confessions of faith, which attempt to articulate the theology of Scripture, do not carry Scripture's inherent authority.
o Autonomy of the Local Church
The local church is an independent body accountable to the Lord Jesus Christ, the head of the church. All human authority for governing the local church resides within the local church itself. Thus the church is autonomous, or self-governing. No religious hierarchy outside the local church may dictate a church's beliefs or practices. Autonomy does not mean isolation. A Baptist church may fellowship with other churches around mutual interests and in an associational tie, but a Baptist church cannot be a "member" of any other body.
o Priesthood of the Believer
"Priest" is defined as "one authorized to perform the sacred rites of a religion, especially as a mediatory agent between humans and God." Every believer today is a priest of God and may enter into His presence in prayer directly through our Great High Priest, Jesus Christ. No other mediator is needed between God and people. As priests, we can study God's Word, pray for others and offer spiritual worship to God. We all have equal access to God - whether we are a preacher or not.
o Two Ordinances
The local church should practice two ordinances: (1) baptism of believers by immersion in water, identifying the individual with Christ in His death, burial and resurrection, and (2) the Lord's Supper, or communion, commemorating His death for our sins.
o Individual Soul Liberty
Every individual, whether a believer or an unbeliever, has the liberty to choose what he believes is right in the religious realm. No one should be forced to assent to any belief against his will. Baptists have always opposed religious persecution. However, this liberty does not exempt one from responsibility to the Word of God or from accountability to God Himself.
o Saved, Baptized Church Membership
Local church membership is restricted to individuals who give a believable testimony of personal faith in Christ and have publicly identified themselves with Him in believer's baptism. When the members of a local church are believers, a oneness in Christ exists, and the members can endeavor to keep the unity of the Spirit in the bond of peace.
o Two Offices
The Bible mandates only two offices in the church - pastor and deacon. The three terms - "pastor, " "elder" and "bishop," or "overseer" - all refer to the same office. The two offices of pastor and deacon exist within the local church, not as a hierarchy outside or over the local church.
o Separation of Church and State
God established both the church and the civil government, and He gave each its own distinct sphere of operation. The government's purposes are outlined in Romans 13:1-7 and the church's purposes in Matthew 28:19 and 20. Neither should control the other, nor should there be an alliance between the two. Christians in a free society can properly influence government toward righteousness, which is not the same as a denomination or group of churches controlling the government.
Matthew 22:15-22; Acts 15:17-29
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You see, regarding the matter of conception or contraception, you conceive that the Baptist individual would be subject to an overruling external authoritative direction of his conscience, as does the Romanist, who apparently has no right to an internal, indwelling rule of his own conscience.
This kind of assumption is dead wrong, and any comparisons you make regarding a Roman Catholic and any Baptist will be dead wrong also. Hence you wind up in verbal hassles that you cannot win. For exactly, your Roman Catholic does wind up flaunting the directions of his Church, while the Baptist only either follows his conscience as guided by his Scripture, the indwelling Holy Spirit, and his spiritual maturity as assisted by external counsel, or he rejects a holy decision (with commensurate consequences).
That is, the Baptist claims individual soul liberty, the consequences of which he will answer before the Judgment Seat of Christ.
The Romanist doctrine does not admit of any such individual liberty. But, in truth, it is exactly such individual liberty upon which our country (and this forum) are founded. And it is exactly that also which the died-in-the-wool Romanist wishes to tear down, which leads to deconstruction of the themes of the Constitution as written. (And which came in with the importation of Romanist masses in the mid-to-late 1800s, persisting to this day.)
Take note also, that the "A" in the acronym B-A-P-T-I-S-T-S stands for preeminence of the local church assembly, an earthly bodily visible manifestation of the Body of Christ, reporting only to Him and His Father, and to no other presumptuous external religious structure. The meaning is that, unlike the Anglican, Episcopal, Presbyterian, Methodist, Lutheran structures, no Baptist will declare his faith as summed up in the Apostles' Creed symbol, because of one word: catholic.
To the Bible-believing Baptist, the only universal invisible body of Christ is the general assembly and church of the Firstborn-out-of-dead-ones, which is written (and assembles together) in Heaven.
But as a last note for this moment, the greatest overriding thrust of the Baptist is that of Separation--separation from unbelievers at the foremost. Here is a summary of that position:
http://bible-truth.org/Separation.html
Salvation's goal is for the person who would know and fear The God, and walk in His ways, to die to self, to Sin as a master, and to the world system, and come alive to Christ and His abundant life.
Are you willing to do that? and stop foisting false religionism on the rest?
This, of course, narrowly applies to the issue of conception, to whom the individual believer must come to terms with life factors between him/themselves and Christ, and stop interfering with others.
Trying to bludgeon politicians into subservience to religious institutions has not found much success in the United States. Ask "the Moral Majority."
Baptist sects like the SBC support baby-killing through selective abortions. Make all the excuses you want for that.