The Constitution considers citizenship but not faith nor race nor descent as prerequisites when determining who can become a U.S. President. However I must disagree with the point Ms. Brown is trying to make since I think the professed faith of someone, especially our leaders, most certainly does matter.
A steadfast belief in any ridiculous, unprovable idea that has no evidence to support it should be fairly considered as reasonable grounds to rule out a nominee by an informed and rational electorate. A belief in Allah is every bit as stupid and irrational as a belief in any other God including Jesus, Vishnu, Zeus, or Thor. Just as a belief in a flat earth would be grounds for ridicule so too should the faith required by nearly every organized religion in the world. In a sane world anyone running for office professing such blind faith should be utterly unelectable because their campaign would be roundly ignored as that of a fool.
Sadly this country is massively deluded and therefore regards some stupid ideas as unacceptable while giving other equally stupid ideas the seal of approval. It is a sad commentary to know that many of our brightest leaders likely have no such faith but still must profess the be Christian and bow down before a symbol of torture to get elected. Alas, they must pretend to be the same brand of stupid as everyone else.
It is a sad state of affairs indeed.