As for myself, I care more about what someone reads and what their tastes and personality/aptitude is like rather than their background.
Diverse backgrounds amongst friends are fun, and I think it's a source of immense strength, but I'd think of the Muslim friends I have as being any number of things--some are shy, some are outspoken, some are partyers, some not so much, that is to say, they're all actual PEOPLE before a title--before being "Muslim," unless the circumstances of the discussion made their being that actually relevant.
Ethnic or religious background shouldn't matter...
To speak for just myself, as long as someone doesn't have a view which is hateful towards me or my ancestry, I'm fine with theirs...so 1.6 billion Muslims in the world, and *MOST* would be perfectly fine with Jews, and so we'd get along.
If it were someone who backed Hamas, and held the political belief that exterminating the Jews was a good thing/should happen...then yeah, we're not going to get along, NOT because you're Muslim, but because you'd want me dead, and that's kind of a friendship killer. It'd be the same thing with a Neo Nazi or KKK or Christianized White Power group.
One of my dearest friends, I've said before, is an Armenian immigrant from Lebanon, and she's infinitely nicer and more sociable than me, an all-around better person, makes friends like crazy...*BUT*, hey, if you happen to deny the Armenian Genocide (or are a Turk denying it to her, as she's had happen before) then chances are she won't want to be friends, not because you're Muslim, but because you've denied a slaughter that directly affected her and her family. People tend to take that kind of thing personal-like, ya know.
I don't know how she'd be with a Turk who accepts the Armenian Genocide...it's not as if she goes out of her way to seek Turks out and ask...
And I'd be cool with anyone anywhere, even someone who was vehemently anti-Israel (as another of my great friends is), just so long as they don't take the "step too far" and endorse Hamas and/or that attitude that the Jews should all die.
We need to focus less on generalizations about race and religion and more on the specifics of the political rifts--like the ones above--as THOSE are what keep people apart, more and more.
Blindfolded, you wouldn't know a Christian from a Muslim from a Jew--but you'd be able to hear someone speaking kindness or hate speech towards you and those like you, and THAT is what drives people apart, as much as anything.