I would consider tolerance of homosexuality a case where a more sensitive morality is beginning to prevail over the majority: First, tolerance is the minority view (or was a bit ago) because non-tolerance was the status quo. Second, tolerance is the more sensitive moral position because it requires empathy with the group of weaker social influence.

I would stand by what I wrote, that moral progress would be the more sensitive minority impressing itself on the general population, since it's sort of tautologically true, but I'd be careful to emphasize that my post wouldn't prescribe anything about moral conflicts.