Multiple grounds do not always cause objectionable ground loops. But they can. Depends on too many other things to say they always will or won't.
To keep one thingy from interfering with another thingy the idea is to isolate those two thingys, don't let them interact. There are quite a few ways of doing that, most are fairly common, and you probably know what they are anyway.
Can you make anything work with anything else? Sure, if you're willing to go to all the work and trouble that it will take. (Sort of why you asked the question, right? To find out what would require the lea$t amount of that 'work' stuff?
) The typical commercially made vehicle is one of those "one size fit's all" thingys. That means that there will always be 'fit' problems with some stuff, no way around that. One fairly good possibility for finding out those 'fit' problems is to ask the manufacturer. They typically go to a lot of trouble to find out what those possible problems are so that they can sell to everybody. It isn't fool-proof by any means, but their solutions will usually give you clues to what problems might be associated with.
The absolute most bestest vehicle I ever found to not have radio problems is sitting in my driveway. If by chance you might be interested, it's for sale. (It does have one or two mechanical problems right now.) Bring lots of money!! Payment in pennies is acceptible (if you can find that many semi-dumps to haul it)...
- 'Doc
You don't want it, believe me.