That is indeed the conservative play though. Trust me on this. I have spoken personally with MT AG Austin Knudsen (who really is an incredible guy, I must say). The various states will keep passing legislation until the Court takes it up. They're banking on Roe's initial ruling, which required incredible works of the pen to justify from a legal standpoint, being ruled invalid and authority on the issue being returned to the states. Then if the Dems to try to pack the Court they give the right a HUGE election weapon in being able to accuse them of being undemocratic and pointing to example countries such as Venezuela to showcase how, "Packing the courts leads to the destruction of the nation.".
A far-fetched plan as of now, to be sure, but not one which any self-respecting liberal should discount. It'd come down to a shouting match over who can make the other side ('anti-choice' and 'court-packers') seem worse, and if I'm being frank; the right has never had a more effective media presence than now and I'd not bet on the left winning if s**t hit the fan today.
Personally, I'd rather we fix our aching foster care system (because that issue cannot be separated from this) and then work on promoting changes at the cultural, not immediately legal, level. You can't expect something as sensitive as this issue to NOT cause outright political civil war if it's rammed through with temporary majorities and a populace so divided as now. Ideally you convince the majority that abortion is wrong because it fundamentally denies human beings the right to live a life, then it's EZ-street to passing a Constitutional Amendment on the matter and you'd have a happier and more unified populace as a result. If I was the power behind America's strings, this is how I'd go about it.
Cheers to the upcoming madness though. It pains me that we'll probably be on opposing sides of it if things proceed as they are now. :(