(1) that's not what “equivocate” means (as in there is no definition of “equivocate” which fits that sentence structure.)

(2) If you mean something like “paints an equivalence between”, I didn't. I provided an illustration of the concept that the existence of a cultural difference does not imply equal validity of both sides of the difference.

(3) The attitudes rejecting homosexuality are almost entirely not found in secular society, though they may be found in national whose government is, nominally at least, secular.