OK so let's look at that. "...until our country's representatives can figure out what is going on." What exactly does that mean? And if you can define it then what constitutes a win and a chance to end the ban?
You say "...until we can figure out how to vet them..." Vet them how? Documentation? Background investigations? Police surveillance? You say, "If Muslim countries wants to help us by providing data, it can go quicker." What about the rest of the world? What are you expecting from those, especially those countries we don't require visas?
Vet them the same way Cruz would of the Muslims from the designated countries.