Re: Christian churches?
Of the protestant churches today , the "evangelical" churches (the various Baptists, Assemblies of God, Pentecostals and "Full Gospel" churches, etc.) are going to tend to be the most fundamentally conservative. These denominations are generally what are described as "word" churches, in that they believe that the Bible is the sole, complete, and unequivocal message of God and that no other man-made dogmas or cannons can exist in conjunction with the Bible. "Word" based theology insists that the Bible says what it means and means what it says, and when the Bible says that gays are accursed and are to be utterly shunned, they mean it. These denominations believe in the existence of a literal physical Hell and Satan, and many do indeed teach that unrepentant gays and lesbians are on the fast track to the cooker. Methodists used to be in this group, but from what I have seen they have slacked off on their "word" based theology and have become increasingly secular in their teachings, allowing more liberal teachings and theology to mix with their fundamentalists beliefs over the last fifty years or so. That is rather amazing, in that the Methodists, back in the 19th Century, were revered as the most hellfire-and-brimstone, Bible-thumping denomination in existence. My how they have changed.
Presbyterians (Church of Scotland), Lutherans and Episcopals (Church of England) are what can be described as "State" churches, in that these churches came about largely as a coordinated union between the church and state as a way of giving kings and governments control over church mandates and teachings. These churches have never stuck strictly to Biblical word, and through the centuries have changed their rules and dictates with the times, and have been more accepting of what would be considered "liberal" ideologies and practices. I once heard an Episcopal sermon that was so secular the pastor did not even mention God or the Bible. It sounded like the message was taken from a Better Homes and Gardens article.
Then there are the Catholics. I cannot speak for Catholics as I know nothing really about the religion. Individual Catholic churches seem, in my experience, to have varying degrees of acceptance and tolerance, which I can only assume are determined by the individual Pastor's beliefs or the stance of the diocese under which those churches fall. Most Catholic pastors I have been acquainted with did not believe in the existence of Hell or Satan, which makes it handy for the LGBT community.... one less thing to worry about.