I truly believe that religion is a personal matter, a decision we all make about what reality is and how it works. As an atheist I don't believe religion has anything valid to say on the matter based on my observations of reality versus claims religions make. But I can't force anyone to agree with me and refuse to support public policy that would criminalize religious belief or worship.
When someone tells me that they approach politics with a religious mindset I can't help but roll my eyes. This is an example of what we're talking about when we refer to beliefs informing actions: how do you expect to formulate good public policy if your foundation of truth is a fantasy? I can't stop people from voting that way but I can uphold secularism in which people are entitled to believe whatever they choose but can't use our laws to coerce compliance with religious belief.
I draw the line when people try to inject religion directly into politics. It is a direct violation of our highest laws and a bad idea in general. Politics and government are subjects that require deep analysis and careful consideration of the consequences of policy whereas religion requires you to take your brain off the hook and do as you're told. Consider for the moment the way religious belief mimics drug use. Would you trust a politician who constantly nods off on morphine or freaks out on LSD? Would you trust a drug dealer to faithfully represent the interests of his addicted customers? If not, then why would you trust a religious fanatic with the intimate workings of our government?
When Roy Moore gave a religious sermon explaining why he refused to concede his electoral loss he used religion as a weapon against his opponent and our nation. His religious language was designed to bypass his viewers' cognition and appeal directly to their id and get them to respond on instinct rather than rationality. I can't respond to that in any way except as a threat.
There are many examples of how religion is a threat to modern society and human progress but I think this is fundamental: religion encourages us to bliss out in a dopamine haze and leave the driving to someone else. I can't stop someone from choosing to partake but I can help them recover from addiction.