You mean that by doinf such he aligned himself with Hilliary supporters?
Here is a bit of information for you since Cruz was for not banning Muslims before he was for Banning muslims.
http://thereligionofpeace.com/attacks/american-attacks.aspx
You are describing Trump, not Cruz. It is Trump who does not have the word "Muslim" in his immigration policy document. I also quoted Trump THIS WEEK stating he wants to ban immigrants from "from areas of the world when there is a proven history of terrorism". Note.....The word "Muslim" is not there, either. This has been Cruz's policy and that of the hated GOPe all along. It's good to see Trump joining them.