Your words, "What this boils down to is religious bigotry looking for a cloak to dress up as legitimate opposition.", seem to be true of mormons.-> Why do mormons claim the right to follow the dictates of their own conscience, but deny the same to Christians?-> Why do mormons call Christians "bigots" when they follow their conscience?
-> Why do mormons condemn Christians who won't vote for someone who believes in a perversion of all Christians hold sacred?
Perhaps you think that allowing people to follow the dictates of their own conscience means not speaking out when you disagree with them. If that is so, then by that standard YOU don’t believe in allowing others the privilege of worshipping God according to the dictates of their own conscience.
What part of “and allow all men the same privilege” is unclear to you?