I'm no expert, but my basic understanding is that Islam is actually a peaceful and loving religion. So the violence commonly associated with Muslims is actually just a radical fringe, not the primary group.
So in that sense, there is no Muslim-violence problem any more than there is a Christian-violence problem, or a Hebrew-violence problem. So I don't think the solutions to this problem would be in any way specific to Islam. We, generally (the US included) have a serious mass-violence problem. We're all aware of the school shootings, and army base shootings, and theater shootings, and other kinds of violence domestically. I'm hoping that there is a solution to address all of these types of violence.
So far, the only thing I can think of is: better mental health care. But I'm sure there are many reasons that's not a real solution.