It is not a particular religious or political set of values or ideology that is the heart of the problem here. Authoritarianism goes beyond political or religious affiliation.
Given authoritarianism's penchant for enforcing its will through the means of coercion and force, at the expense of religious and civil liberties, it is vital for those who identify with these groups to recognize this, and the very real danger that this poses.
It is not enough for progressive evangelicals and political liberals or even moderates to speak out. Conservative politicians and religious leaders alike need to recognize the very real danger of authoritarianism, and find the moral courage to speak out against it.