Mens rea usually means intent to do the thing, not intent to commit a crime.

E.g. if I involuntarily swing my arm and hit someone in the face as a result of a medical condition I lacked the appropriate mens rea and am not guilty. If I intentionally punch someone in the face while being somehow unaware that I'm not allowed to do that I am guilty.

Hard to see how mens rea would save anyone from being guilty here.

US doesn't care about mens rea for certain crimes involving speech anyway.

Anti-blasphemy laws, which is what these laws are, don't care about that either.

I'm not sure, but it wouldn't apply in the case we are discussing or I assume most businesses operating globally.