Many colonials believed that the American Revolution was against Christian teachings:
Let everyone be subject to the governing authorities, for there is no authority except that which God has established. The authorities that exist have been established by God. Consequently, whoever rebels against the authority is rebelling against what God has instituted, and those who do so will bring judgment on themselves. For rulers hold no terror for those who do right, but for those who do wrong. - Romans 13:1-3
Have confidence in your leaders and submit to their authority, because they keep watch over you as those who must give an account. Do this so that their work will be a joy, not a burden, for that would be of no benefit to you. - Hebrews 13:17
Submit yourselves for the Lord’s sake to every human authority: whether to the emperor, as the supreme authority, or to governors, who are sent by him to punish those who do wrong and to commend those who do right. - I Peter 2:13-14
Remember these passages were written to Christians living under the yoke of Roman occupation.
So these types of questions require a true commitment to study, understand, and follow what the bible actually teaches.
I personally believe that Americans should only be placed in harm’s way when it is clearly necessary for US long term security. I would not engage in war for economic benefit.
And I feel no requirement to somehow rebuild or democratize the offending party. Punish US enemies, reward her friends. True statesmanship in a nutshell. And perfectly compatible with my understanding of Scripture.
Regarding the commandment about obedience, it is an interesting question that arises regarding when, if ever, Christians are justified in rebelling. By the logic displayed in the Bible, we are instructed to submit to the authorities because God has placed them in that position, so rebelling against them is to rebel against God’s will.
However, in the case of the U.S. we do have the benefit of hindsight. The American revolutionaries succeeded in throwing off their rulers, and forming a new government, and that government has so far stood the test of time. So, an argument can be made that such is evidence that God must have placed that government in authority over us as well. After all, if God willed us to remain obedient to our previous rulers, how could our venture have succeeded?
Also, there is one clear and undeniable case where God gives us permission to rebel against the earthly authorities: when those authorities command us to disobey God. We have many examples, most importantly the lives of Jesus and the apostles, which God used to teach us that important lesson.