The question is very poorly written. I agree with Stark that it is misleading. The people did not establish a definition of "religion" and so are assuming that it means the same thing to multiple groups.
Also If they had asked the Baylor question, I would suspect that the LDS would tope at with "virtually everyone" for any group stated by other groups.
I also disagree with the underlying tenet of the surveyers, that accepting that belief that Muhammad was God's prophet is a way that will lead to salvation is neccessary to accept Muslims. I feel that Muhammed was a false prophet, but that does not mean I hate Muslims. I have several friends and associates who are Muslims in fact.

that persecution complex is in full swing. thats the problem with believing that only your religion gets you to the celestial kingdom.

Intolerance at its best.

Why would Muhammed be any more a false prophet than Joseph Smith, are they not two peas of the same pod,or is it just a matter of personal enviroment. Does two wrongs make a right, or does one crazy off set to another crazy produce a sane or just a lot more crazies.. What about just being a good citizen and using some common sense.