It at most indicates probable cause that he might be of unsound mind. It ought to be looked into by a competent investigative body, some sort of professional board. But “speech” is not enough to get him summarily stripped of a license that must have taken years of hard study and work to obtain. Should Governor Northam lose his license because of his penchant for wearing black face and legalizing baby killing?
For support of infanticide ? Yes. Violation of the Hippocratic Oath.