First of all, there's a difference between imposing a quota on the number of H-1Bs and raising the bar for applications to be approved. I'm in favor of the latter, and the former makes no sense. If the U.S. needs more skilled labor than it can provide, then it should allow as many immigrants as needed to come over to fill the gap. I hope that strikes you as a pretty obvious argument

Second, inequality in the U.S. has nothing to do with an abundance of cheap labor. It has to do with macro trends in globalization and cheap jobs being outsourced to (mostly) Asia.