Yes he would. One of the problems with those calling for federal bans of marriage, do you really want the Democrats in the Senate defining marriage and getting involved ? NO. Rand points out that this is bad for Christians and that they should work at state level and not call for more Federal involvement.
Thus far no one advocating giving up on social issues have offered any protections for religious orgs/children. Gay rights orgs will sue churches, go after children in schools and they will be fighting back on their own because Republicans have been told to surrender. That's what will happen,
Gays rights groups work on all levels of govt. They push first and we shouldn't surrender.