Mostly it's about not eating pork. I think they can eat pork in some extreme situations, like life and death. I know Muslims can eat Kosher too. The Muslims here have no problem cooking pork for others though. The pork thing seems to stick strongly for Muslims even if they are not very religious, even if they drink alcohol most wont touch pork, since kids they have been taught that it's a dirty animal.
Same with Orthodox Jews and it used to be wise from a health standpoint. But now the meat inspectors, at least in the US, say they find a higher level of parasites in lamb than in pork. I love them both, but lamb doesn’t taste so good too rare, so best is to cook it medium to well.