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We have discussed LGBT rights quite often in this website, and if you explore you will find that most members are quite supportive.
On the topic of the Bible and religion, then you are getting into highly emotional topics, especially for the atheists who have a problem with the religious folks pushing their views into government policies and legislation. I won't go there, but you can do a keyword search in the browser above if you would like to browse some of those forum threads further...and perhaps reactive them.
While you will find varying degrees of views on the separation of church and state, I for one do not mind engaging with religious folks as long as they have open minds. I do not demonize their beliefs as my own dear mother was deeply religious while my father was an atheist. What I learned from both of them is tolerance.
I do explore both the Bible and the Qur'an/Hadith to better understand the deep passions of those so motivated to push their religious views into the political arena. Republicans, especially, are pretty adept at playing the "God card", especially around election time as the Evangelical Christians are a formidable part of their base.
Most of the time when we discuss religion on this website, people talk past each other. Just forewarning you from someone who has engaged in these discussions many times, but lately just shying away from the topic entirely.