Final vote could happen as early as Thursday
'Might there be legal challenges to it? I hope not. But in the case that there are, I believe it will be upheld'
First vote on bill expected on Wednesday
Served as transformative leader of Mautner Project
Key vote was expected as soon as next week
Some Republican leaders doubt there's sufficient support
Schumer expects action soon to codify rights into law
Such positions will cost the party votes in November
Sen. Baldwin says 10 GOPers could support measure
Repeal of Roe has increased urgency to secure privacy rights
