Republicans Push Senate Vote on SAVE Act
Thune plans Senate vote but no date set.
SAVE Act requires U.S. citizenship for registration.
Mike Lee pushes 'talking filibuster' against 'Zombie Filibuster'.
Bill will fail without filibuster rule changes in Senate.
Altering filibuster norms could change Cloture precedent.
Critics say bill hinders registration for marginalized groups.
4 hours ago