Electrically, it should work fine if everything is wired properly. Interconnecting the two systems that way is not the right way to do things, though, and I would not do it or suggest it. If the bond between the motorhome chassis and the 120V ground bus in the distribution panel were faulty, you could conceivably have some nasty voltage potentials present between the two.
I'd concentrate on figuring out where the ground lead from the 12V light leads and verifying that the other end of it is tight. The wire may go through an inaccessible cabinet, but the chances are pretty good that the problem is at one end or the other (or at some intermediate connection that presumably is more accessible).