See, but this is the thing--abortion will still be a political issue post Roe! If anything it will be a more contentious issue.
Yeah, if this becomes a state issue, it's going to become extremely relevant to state and local elections. To southern white Republicans, voting in a Democratic government could mean repealing abortion bans. I'm not 100% on what role the federal government would play in this if SCOTUS decides to let states act, whether they could pass a national ban on/right to abortion. If so, abortion would indeed be even more of an issue than it is now. There would be massive pressure on the Republican Party to pass a national abortion ban, filibuster be damned. It would make it impossible to convince pro-life voters to vote for Democrats, particularly as long as the issue remained the prerogative of Congress/state legislatures.
I don't see how this issue is ever off the table, even if it was guaranteed by a constitutional amendment. At best, maybe at some point pro-lifers get what they want and most of them move on, aside from the more dedicated activists who push back against the inevitable pro-choice movement.