Gay marriage was super unpopular with moderates, until people made efforts to change that. No one in the country cared about drag queens until the conservatives made a concerted effort to make it a political issue. The political whims of the country are changeable, if you’re willing to try to change them.
Too many people look at politics as the job of reading an opinion poll and then staying within a rigid bound of the status quo rather than as leaders who should be influencing the public to adopt better policies. This continual worry about moderates’ beliefs as if they’re not the least ideological people in the nation is a flawed approach to politics that just puts up barriers and excuses for doing anything.