With the modeling amps and other electronic gizmos available today, I don't think it makes much difference, sound-wise, whether one plays an acoustic or electric guitar on stage. A Martin D-28 can be made to sound like a Les Paul, and vice versa.

The only real consideration is aesthetic. Do you want to be seen playing folk music on a Les Paul or hard rock on a D-28? Personally, I don't, though I've certainly seen other people do both quite well.