overturning Roe has nothing to do with whether abortion (first trimester for adult women) is legal or not - it simply hands the issue back to the States. You are correct that the issue requires careful explanation however, because the left will use the scare tactic that tossing Roe means abortion is instantly illegal, everywhere - which of course is not true.
Good post and I agree completely. The problem, as you stated, is that most (on both sides) see Roe v Wade as the only think keeping abortion legal. It is highly doubtful that abortion would be illegal in many of the solid blue states even if Roe was overturned.
A person in a state that prohibits abortion could easily just drive to a state that does allow them.
The Feds, however, could attempt to pass legislation to ban abortion.