Why round two of the Texas abortion fight won’t end like round one

“If in some way Dewhurst doesn’t get this legislation through, he won’t even be able to to run for reelection,” said Jones.

Republican majorities in the Texas legislature ensure the numbers are there for Dewhurst and Perry to pass the bill. The measure passed the state Senate by an almost 2-1 margin last week, but the tally was rendered inconsequential because it came too late.

For Davis, the new session is a chance to cast a renewed statewide and national spotlight on Republican efforts to tighten abortion laws, even if she can’t ultimately stop the bill from becoming law.

“They’ll probably be a little bit smarter about how they try to move this bill in this next session starting on Monday,” Davis said on CBS’s “Face The Nation.” “But what they now have to confront is that the eyes of Texas, the eyes of the country are watching and they are going to be held accountable for the decisions that they make in this process.”