So what happens after Perry's special session passes the onerous abortion legislation: Injunction
A challenge in federal court. The 20 week limit hasn't been held up anywhere. It's blatantly unconstitutional. The TRAP law stuff (docs required to have admitting privileges, etc) is a little different but so far, that hasn't worked as a tactic either. Federal courts have thrown out those requirements as onerous obstacles.
Federal Judge Blocks All Enforcement of Mississippi Admitting Privileges Requirement
http://reproductiverights.org/en/press-room/federal-judge-blocks-all-enforcement-of-mississippi-admitting-privileges-requirement
I don't think the RU-486 restrictions will fly either and they'll certainly be challenged as well, as will the requirements that clinics meet standards for ambulatory surgical centers.
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The bill would require abortions, including those induced by drugs, to be performed in so-called ambulatory surgical centers. The regulations for such facilities include specific sizes for rooms and doorways, and additional infrastructure like pipelines for general anesthesia and large sterilization equipment.
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http://www.texastribune.org/2013/03/25/bill-could-reduce-number-texas-abortion-facilities/
This legislation, like so much of the anti-choice legislation passed recently in state after state is designed as a challenge to Roe- and that's the greatest danger. Sooner or later, and probably sooner, the SCOTUS will take up one of these cases.