"Will we have Muslims rioting too if we don't succumb to their wishes?"
Rioters here have to face armed citizens.
I understand that Muslims tend to build their own communities the same as other groups. If they want to burn down their own communities who is going to stop them?
Think Watts. What did we do? We backed out, sent in unarmed troops and allowed the riots to continue. The Korean business owners were the ones the rioters knew would shoot them.
I would expect that we will do the same next time around.