Well Jarod, I posted a link to his policy page where it was pretty clear he was talking about Muslim immigration. Most politicians are allowed to formalize their previously stated positions on their policy page.
Do you think an exception should be made for Trump?
Btw, the president has the power under US code to deny immigration to classes of people.
Whenever the President finds that the entry of any aliens or of any class of aliens into the United States would be detrimental to the interests of the United States, he may by proclamation, and for such period as he shall deem necessary, suspend the entry of all aliens or any class of aliens as immigrants or nonimmigrants, or impose on the entry of aliens any restrictions he may deem to be appropriate [US Code 1182]