Generalizing one of the most esteemed IR scholars of the last century as a "right wing thinker", on the basis that one of his assessments is, allegedly, one held by many on the right, is an incredibly lazy over-simplification to pigeon-hole a situation into the "enlightened leftists vs dumb immoral right-wingers" paradigm that left-wing ideologues frequently promulgate.
One can very reasonably critique Mearsheimer's analyses, but not on the basis of such a simplistic "left vs right" model of the world.