I think this argument will become obsolete in short order. It isn't social change that will free men; it is the steady march of technology and increasing prosperity that will free men. When women have access to well-supplied means of artificial conception, as well as access to all of the government programs they could ever need to raise a child comfortably without the participation of a man, men will know freedom. When women no longer need men in any capacity to rear and support children, men will have freedom.
It would have been nice if it could have happened a few decades sooner or if I were born an equal measure later so that it could have coincided with my entrance into sexual maturity. But we can't have it all.
Don't get me wrong, I think there's already egalitarian justification for male reproductive freedoms right now in many jurisdictions, I just think it's a pipe dream to think it will happen under that motive-- and for a number of reasons:
You can either fight to destroy the obstacles I've listed, or let the unstoppable juggernaut of human progress roll over them for you.
I know which one I've chosen.