Fakih's family is itself a blend of cultures and religions, including both Christians and Muslims. Though Muslim, Fakih's parents celebrate Christmas and have a painting of Jesus in their home.
If you are born into a Muslim family, you are a Muslim ... that's the way it works.
She seems to be a “Muslim” who graduated from a Catholic High School, according to her web site.
I suspect her family are Alawites like the Assad family that runs Syria: a type of Shi’ite with some Christian customs and Christian feasts, and often taking Christian names (Bashir is the Arabic equivalent of Basil or Vassily). The sect were probably cryto-Christians years back, but now are just a very odd sect of Shia Islam.