The FE focusing screen is removable - IIRC the FM's is not. It is just a single piece of plastic, which is good (for multipart screens you have to be careful about getting anything in between the layers).
I have never ruined a focusing screen with alcohol, but recently I found a plastic focusing screen that I suspect was ruined with alcohol or a similar fluid. While researching another topic (cleaning plastic and rubber woodwind mouthpieces; it also appears to be an issue for people cleaning car headlights), I discovered that if alcohol is strong enough, it is known to attack certain plastics including acrylic. So I would now be real careful about using alcohol on a focusing screen. It apparently depends on the concentration: weak solutions like lens cleaning fluid or 40-50% (vodka) might be ok, but 75-90% (drugstore rubbing alcohol) might be a problem.