Would you make friends with those who are enemies of Islam?
Sure, I don't see why not. I'd make friends with those who are enemies of Christianity too, as long as we have some common values and interests outside of the strictly religious.
would you make friends with Trump and his ilk
I would not be inclined to make friends with Trump, but I would and have become friends with his ilk even though we disagree on some political issues. I have also informed some of his ilk about third party options, and some of them have shown a willingness to consider jumping ship.
I could see myself being happy about having Bibi as a friend. That would be cool. I could also see myself being friends with his kind, just as long as his kind is non-hostile to the slightest criticism. If I'm allowed to disagree with some of the things that Bibi says and does, I'll be okay. For that matter, I could befriend a Muslim, just as long as that Muslim is non-hostile to the slightest criticism, and as long as I'm allowed to tactfully disagree with some of the things that the Quran says and some of the things that Muhammed has done. Anyone who's willing to be reasonable around those who don't share all their beliefs, and anyone who's not completely hostile to polite disagreement, is probably going to be okay with me.
Now you just have to ask yourself, are you cool? Are you reasonable, are you non-hostile? Can you be non-hostile? That's the sticking point. The whole issue here is, how open are you, how open can you be, how open should you be? So don't try to turn this around and put it on non-Muslims for being non-Muslim, that's a given, you need to decide what kind of person you're going to be toward them. Hostile or non-hostile? That's the big one.
Regarding the matter of is it a contradiction: One does appear to be a hostile position, and the other is decidedly non-hostile. There is a difference, that much cannot be denied. Does a difference necessarily equate with a contradiction? Not always, and the opinion of a non-Muslim on the contradiction issue is never going to be one that carries much weight, but I would summarize the main difference in terms of hostility. Seeing that as a contradiction is rather easy to do, working it out as a non-contradiction is difficult and you'd only do it because you believe you have to. It's a conclusion that follows from necessity, not from the weight of evidence and reason. That's my contribution.
If you look for the word "hostility" in the first link, you'll find it right next to "hatred." If you look for hostility in the second link, you will not find it. That much is quite plain.