I don't see that either, but I think the SC will say that such a right is not in the US Constitution and the Roe v Wade ruling will be overturned. But that does not mean the US Congress can't legislate abortion rights as a civil right rather than a constitutional one; I do not believe the SC would overturn that law, whatever it is.
BUT - unless the filibuster gets abolished, such a law would require 60 votes to pass in the Senate and I do not see that happening. They are supposedly working on a bipartisan abortion bill as we speak, but I don't believe the chances for that bill to pass to be very likely. So, IMHO the issue will end up at the state level to do as they please. And they will answer to their electorate if they go too far