I think Hank has a point, if your not used to doing something it can lead to injury, so either they need to go to the DH or No DH for both leagues, OR, they can meet in the middle and go to a 10 player batting order.. with both Pitchers and DHs, as it is hard to take the DH away, and the Players Association would throw a fit as it would take away jobs from some players (and give them to others, but there would be players losing jobs)
As for the double switch, thats part of the game, thats a manager having to work to keep his team going, he is depleting his bench to make it a risky move if the game continues into extra innings.