Should I wear an abaya for safety reasons if this is not my religion?

I am living in a 99% Muslim country that is dangerous for Americans to be in at this time. My boyfriend and I draw many stares when we go out, which isn’t often. There are no other Americans here that I have seen. A local friend of my boyfriend said that if I wore an abaya (the black covering from head to toe) then it would be better for us. (safer) I feel like if I do that, then I am bowing to a religion that I do not ascribe to. I want to know others opinions of this and not the crazy anti- Christian comments that you may want to deliver.