When abortion rights become even more mainstream and accepted then they are now, probably in the 2020s and at the latest, 2030s.
I'm not sure that will happen. According to several polls, younger voters have approximately the same views on abortion as the older generation. Some polls even suggest that younger voters are slightly more pro-life. Thus, I don't see opinions on abortion changing anytime soon, especially considering that the younger generation grew up in a much more liberal environment than the older generation.
None of that matters. Over time, more socially liberal generations emerge, and old "conservative" beliefs are struck down. The cycle, as always, will repeat itself.
In this particular case, I think you're very much wrong, and I'm as pro-choice as they come. Abortion will still be debated widely for decades to come, and there won't be a strong movement one way or the other. This is in contrast to the gay rights issue, which I'm confident will be more or less decided (if not "over" in some circles) within the next two decades in favor of
de jure equality.