Morsi may have been democractically elected, and the military junta of Egypt should be opposed and there should be new democratic elections, Morsi himself was turning into an autocrat who was killing protestors and trying to consolidate his rule. He should be opposed as much as the military junta is.
Morsi is a member of the Muslim Brotherhood, which is a terrorist organization. Morsi will start another war with Israel, and that will destabilize the Middle East. Egypt needs a moderate leader who will bring a lasting peace to the region. Morsi was ousted by his own people, and it was a good idea that America did not fully support him.