As usual, much of your "evidence" is anecdotal. It may be from a Yahoo article, but it's not clear the sample size is representative.

Yes, prospective doctors who are in favor of abortion don't want to practice in states where abortion is restricted. To quote Gomer "Surprise. Surprise. Surprise.".

Also, if the number of medical recruiting companies is more than two (and I have to believe that it is) I call bullshit on your assertion:

"In case you are wondering (you know that I was wondering), NOT A SINGLE MEDICAL RECRUITER [emphasis mine] has been contacted by ANY DOCTORS [emphasis mine] looking for jobs in red states."

I know it goes against leftist dogma, but I find it hard to believe that the ability to perform unfettered abortions is THE driving factor influencing where EVERY, SINGLE, PROSPECTIVE NEW DOCTOR is considering practicing.