Ok.....thanks OS for some clarity.
Now that the OP, photo, and source have been cleared up as misinformation, hyperbole, and perhaps even fiction, the question now seems to be "Can a Muslim be President of the United States ?"
We can even expand that to substitute "Satanist", "Atheist", "Agnostic", "Druid", "Pagan", et al. etc. In 1960, "Catholic" was the label applied with much hand wringing in some circles.
The answer, clearly, is yes. Would I, personally, vote for an admitted, practicing Muslim for President ? I would struggle with it, and I am man enough to admit that.
But that would be my personal religious views and political ideology (prejudice maybe even) and not anything on Constitutional grounds.
Here's the oath of office that the POTUS takes:
I do solemnly swear (or affirm) that I will faithfully execute the Office of President of the United States, and will to the best of my ability, preserve, protect and defend the Constitution of the United States.
The man or woman taking this oath swears allegiance to the Office and to the Constitution, not a faith, religion, region, or political party.