I agree with you. and also, for those who use the quote "separation of church and state" selectively; the way it's SUPPOSED to be meant, is that the state cannot have a say in which religion is allowed in the US and cannot make laws telling the church what they must preach. This does not however, mean that a church, or religion can do whatever they please, and the state can't say nay about just bc it's under the blanket of "the church". Federal and state laws, are still federal and state laws. To quote Thomas Jefferson and James Madison on the issue:
Believing with you that religion is a matter which lies solely between Man & his God, that he owes account to none other for his faith or his worship, that the legitimate powers of government reach actions only, & not opinions, I contemplate with sovereign reverence that act of the whole American people which declared that their legislature should "make no law respecting an establishment of religion, or prohibiting the free exercise thereof", thus building a wall of separation between Church & State. (Jefferson)
August 15, 1789. Mr. [Peter] Sylvester [of New York] had some doubts...He feared it [the First Amendment] might be thought to have a tendency to abolish religion altogether...Mr. [Elbridge] Gerry [of Massachusetts] said it would read better if it was that "no religious doctrine shall be established by law."...Mr. [James] Madison [of Virginia] said he apprehended the meaning of the words to be, that "Congress should not establish a religion, and enforce the legal observation of it by law."...[T]he State[s]...seemed to entertain an opinion that under the clause of the Constitution...it enabled them [Congress] to make laws of such a nature as might...establish a national religion; to prevent these effects he presumed the amendment was intended...Mr. Madison thought if the word "National" was inserted before religion, it would satisfy the minds of honorable gentlemen...He thought if the word "national" was introduced, it would point the amendment directly to the object it was intended to prevent. (Madison)