Oh, I've seen the AI switch weapons occasionally. One DA game had everyone using either missiles or beams, and using defenses against them as a result - which gave the Krynn a big advantage when they suddenly started using mass drivers, even though it set them back. In the TOA game I'm writing an AAR for, both the Korx and the Altarians had low-tech mass drivers, but when I traded them Laser V, they switched to that and subsequent beam weapons - and then the Altarians started going back to mass drivers when their enemies' shield technology got too good.
So it does happen. I've never seen the AI using multiple weapons at the same time, but I don't do that much myself, so I can't say there's anything wrong with that.