People who meet in private, excluding others from admission, enter into agreements between themselves in how to direct worldly goods and services, are indeed identifiable as members of conspiracy.
The reason why their cause is satanic is manifest by their works being independent of faith in Christ. Human good and human evil have no value other than being good for nothingness by Divine Standards. They also are used as counterfeit substitutes for divinity when worshiping a false god.
They are Satanic, because they commit their thinking to a god other than God the Father through faith in Christ.
Masonry attracts many people from Christian cultures who seek to perform good works, but are still thinking and living in a worldly or carnal system, instead of God's Plan. They perform many human good works. Those human good works are parlayed into evil by the Adversary seeking to place his system of worldly and carnal works as a counterfeit substitute to God's Plan for good works through faith in Christ.
As the culture falls further away from Christian faith in Christ, so to does the Masonic system degenerate into promoting even more antiChristian activity.
There are many Masons who coming from a Christian culture, will describe themselves and even participate in Catholic traditions. They will describe themselves as Catholic (RCC, Eastern Orthodox, Anglican, etc), but don't think through faith in Christ in their actions. They do conspire, but few know more about their organizations than those with whom they associate.
They focus many times upon performing good works, thinking they are building up rewards in heaven, thereby making God a debtor. They will ignore their evil they cause their fellow man and adversaries, by focusing on the good they are advancing in their fellow Masons.
Every Mason I have ever met will gladly and joyfully share their perspective of hospitality and goodwill, especially as they deny the workman his wage, steal their reward, and promote criminality.
You might want to reconsider this, since you're describing the Vatican as well, lol.