Hey I'm not against women.
But I oppose having them in a military organization.
And despite on screen denials, that is what I see StarFleet as.
What is the problem with women in the military? And for that matter, since when has Starfleet BEEN the military? Yes, they are the Federation's defense arm, but they're also the exploratory arm as well. In fact, Starfleet seems set on the idea of being first and foremost explorers. Hence all the heavy science equipment on ships of the line. Isn't the motto of the academy translated from Latin as 'From the stars, knowledge'?
One of the things that has ALWAYS been a part of the show is the idea of diversity is the norm. Singling out this or that set of the population as 'unsuited' for this or that is seen as a notion that doesn't have a place in the Federation's society.