I just have to make a remark on Rommel again.
It was Rommel who requested that the coast off normandy would be strengthened, Hitler, obviously, denied that, and chose to fortify Denmark even more.
If Hitler would have listened to Rommel and make the French coast stronger, and th allies would still have landed there, Omaha would most likely have been to least well defended beach.
Otherwise, they would have landed somewhere further away, which meant the Germans would have had more time to reinforce the coast. Also, if crossing the English channel meant losing all their tanks, what do you propose they would have been able to land, say, on the coast of denmark?