That*s my position, but without a doubt, Cruz has hurt himself here.
You can look up polls of Mohammedans in various countries, and overwhelming majorities support the imposition of Sharia and other horrors.
So there is plenty of justification for not just a moratorium, but a permanent ban on Mohammedan immigration.
Spiritual awareness is going to be needed to keep us all from falling down the “liberal” (scare quotes: these are some of the most illiberal folks in the world) rabbit hole.