It gets quite quirky because virtually every poll shows that between 55-60% believe abortion should be always or mostly legal,
There's a big, big differance between "always legal" and "mostly legal"
Insofar as Roe v Wade is understood by the bulk of the population to mean that "abortion isn't illegal" then that's certainly true and that if it were to be overturned then all abortions would be illegal, then that's almost certainly true.
Mind you, letting Roe v Wade get overturned could produce a backlash against the court, the Republican party etc. something that would be benificial to the Democratic party.
By and large I guess that'd be true... although there'd be less ticket splitting Republicans. Mind you that's lopping at most 1 to 2 points of the Democratic Presidential vote in New York, something that isn't worth losing sleep over.
But I think most of the country would rather that the issue cooled off or died away. This is the problem when Judges legislate from the Bench... if an abortion law had been passed by Congress making it legal for (lets say) 25 weeks or something like that, it wouldn't be such a bile filled issue.