It'd be a bad proposal regardless who proposed it. A bad idea doesn't suddenly become right when it's proposed by someone else.
No, they wouldn't, because the same problem that those clinics faced would stop a new clinic from opening. Many hospitals do not want to grant admitting privileges to doctors who perform abortions, and so any clinic that attempts to open will be prohibited from doing so. Also, if you look at abortion clinics that have shut down, you'll discover that new ones rarely, if ever, replace them. That is because governments in the U.S. are making it so difficult to do so. Here's another interesting titbit of information, if, as the governments say, instituting laws such as this would improve patient care by making it safer for women to have an abortion, why then do they not do the same for cosmetic surgeons running their own clinics? There is a double standard going on here. Plain and simple, the goal of laws such as these is to shut down abortion providers, effectively making the state abortion-free.
Of course, we all know that just because you make it difficult to have an abortion, doesn't mean they won't be done. And many more women will be having them, and some wont survive.