During a lifetime, one will inevitably stumble over this question. At the time of writing, I just stumbled over it - The specific example is: “Would you be friend with someone who is completely the opposite of you in this topic, say a Trump supporter who is a terf?” It wasn't addressed at me, but I felt the urge to say something about it. So did another user whom this was not directly addressed at, but who made an interesting point: “Personally, I'd find it extremely difficult to even respect such a person since being either of those things basically requires you to have a lot of false premises. And I can't be friends with someone I don't respect.”

Now, the debate the two users were having was very political and would usually be very emotionally charged - and it kind of was - but it worked and served as a nice brain exercise in debating. It was actually a nice experience. Thinking about this question at first, I would have said “yeah, why not, I don't really have to care”, but I immediately had to remind myself that there are limits to how far I “don't care”. Specifically, what I eventually landed on was openness. It is normal for people to be wrong and even, accidentally or through being misguided, have hateful positions towards others. I had and continue to have some positions on things that are probably motivated by hate/underlying insecurity/being fragile/just generally being a flawed human being - an experience, I assume, will be familiar to most. I don't blame or don't respect people for being wrong. Odds are that they are being wrong in good faith, and at that point you it even gets really hard to blame them for hurting anyone because of their wrongness. However, what's important is openness, the willingness to reflect and reconsider one's standpoint, to accept valid arguments and to change one's position as new information disproves your old ones. It's essentially what we do in science.

Now, this doesn't mean something like “you better let me change your mind or we won't be friends”. Some people are more or less resistant to having their minds changed and some people are beyond hope. Also, I might be really bad at changing people's minds. It gets really difficult here and the metric of “I can be your friend despite your toxic attitudes as long as you are open” gets very hard to sufficiently apply, especially when they do hurt people because of it. This is why I will always consider whether a person would actually act on their attitudes - one might hate jews, but it's something else to hate jews quietly but refuse to openly hurt them because you know you're being hateful, or to go out of one's way to hurt jews. One should be aware of how one's behavior affects other people, and when you know that your behavior is hurting others and it's motivated purely ideologically then you should probably stop. That's how I handle it, and if my potential “friend” can do that as well then they've got a lot going for them.