Note: Sweet 15 (Quince años) is the Latin equivalent to our Sweet 16
Apparently, this is a new establishment. Their site (Click Here) is still under construction.
It seems to be built like a mosque. I do not know if they are merely mimicking a Mid-Eastern style, or this reflects the personal beliefs of the owners.
But notice the name: Palestino-Libanés (Lebanese Palestinian)
There is a Lebanese aspect to this. Most Lebanese in Mexico are (Maronite) Catholic. However, those Catholics would be more assimilated and Western.
So I cannot say if the owner(s) is/are Muslim Christian; but two Arab ethnicities are involved, Whether by two owners, two styles of food, or one person of two ancestries, I do not know.
What I can say is that is it looks like a classy joint. Arabs tend to have a high station in Latin America. This may be one example.