One based on morality.
Christianity vs atheism isn’t all that hard thing to handle at all from the atheist’s side, as long as the atheist is not actively anti-religious. You just think they have some harmless beliefs that will potentially make them a better person. Sure, there’s the argument about how to raise your children, and there’s the likelihood that the Christian will try to convert the atheist, but that’s nowhere near as bad as being a Trump supporter.
Because I did notice your attempt to move the goalposts here. We are not talking about someone who merely thinks Trump isn’t a monster. We are talking about a Trump supporter. I can understand someone who has high standards for the word “monster.” But to support someone who has done so many heinous things? That person must thing those things aren’t actually wrong. And if you don’t believe something is wrong, then there is no reason you wouldn’t also do it, given the opportunity.
Your idea that politics is somehow this completely separate from the rest of life is absurd. A political belief is something you will take action towards in order to change the world. If I think that the world you want to create is a horrible world, then of course I can’t just ignore that.
The only reason we may be able to just ignore politics is that our actual difference were minor. That used to be the norm. Sure, one side might be “liberal” and the other “conservative,” but the things they agreed on would overwhelm their differences. It would usually just be on a few issues. This isn’t the case with supporting Trumpism.
Trump was able to get people to engage in a terrorist attack against the US. He joked about how he could kill someone in broad daylight with everyone watching, and he wouldn’t lose followers. And his supporters agreed with him. Supporting him has already resulted in the Trump supporters actively harming their families. Do you know how many LGBT kids have been harmed by homophobic parents? Heck, do you know how many people who marry into a different race family have been harmed by racist parents?
That bigotry is a part of politics now. That hatred that causes actual harm is a part of people’s political identity. To say we can just ignore that is absurd.
Finally, note the actual issue with the OP. She’s not just a Trumpist. She refuses to get vaccinated. She’s harming others and herself. She’s even putting her husband at increased risk. And, even though Trump is getting his vaccines, we can trace the anti-vaccine trend straight back to Trump being anti-mask.
These are not the actions of a loving wife. A loving wife would not put her devotion to Trump above keeping her disabled husband safe from disease. And, of course, this comes straight from her politics.
Politics are not always innocuous. Sometimes your political beliefs can be harmful. To assert otherwise is to treat politics like a sports team. It is the other side of the coin to what @Velocity mentioned.
Politics are beliefs. Some beliefs don’t matter, as they hurt no one. Other beliefs do both.