I think you are implying I am not giving personal opinion Pepp, so I will give mine:
This person is, likely, trying to cause a "raucous" politically and socially, but is doing so standing up for Muslim's rights. I applaud that. The backlash against Islam within our borders has been ignorant and silly, growing more so seemingly every day.
If you want to own and operate a business in the public marketplace (see: non-private social club, members only, etc) then you should follow some basic rules which shouldn't be very difficult: Don't discriminate on the basis of religion, race, national origin, sex, political affiliation, familial status, orientation, and maybe some others, but that was off the top of my head.
I have been convinced by this board to make an exception for when the business has to "participate" in something that they don't want to. I would not require that exception to be rooted in religion, only that it be based on "participation".
Whether or not I, personally, would want to do what the aggrieved person is doing makes no difference to me, who cares what I do and don't want to do. It is enough that someone obviously wanted to do it and did.