Potentially unusual anecdotal evidence; I have been groped three times in as many years by complete strangers (who were females of about my age). It wasn't a big deal to me, and I imagine that anyone who knew about it would just find it hilarious. Sexual harassment of men is probably heavily underreported, so people tend to forget it exists.

The media just reflects popular assumptions, so if you encourage people to reconsider their beliefs about how each gender behaves you might be able to equalize objectification.