Something between France and Britain, i.e., abortion cutoff somewhere between 14 (France) and 24 weeks (British). Make it a clean bill. Leave out late term, identity and gender politics, etc. The bill would pull 60 votes, IF AND ONLY IF, anyone cared about a woman having the right to an abortion. They do not.
I don’t really understand what you mean about keeping “gender politics” out a national law on abortion. By “leave out late term” you mean disallow it, leave it up to states (many of whom will outlaw it and have even when their are severe risks to the mother), or something else?
If you don't include late term non-viable, threat to mother etc nobody should vote for the bill.