Right here on FR, as well as on FB, the joining together in common cause (as when putting businesses on the "naughty list" at Christmas, or getting Cracker Barrel to reverse on taking down Duck Dynasty merch), no one asks "Catholic or Protestant? Calvinist or Arminian? General Association or SBC?"
Senator Cuz is inventing nothing. If he does anything, he will merely give new purpose to that which is already present.
Wishful thinking. Such coalitions are a marriage of convenience. Tell them all they have to commit to eating Chic-Filet until it is the undisputed king of fast food and the effectiveness of such marriages will become readily apparent.