The medical professions are already pretty well regulated in all countries. The other reply re Dr Gosnell is an obvious inflammatory distraction, and existing regulation should already apply. It does not make a logical case for new regulation, it is mere shock value and attempt to start an argument.
Regulation is another red herring. People who are against abortion are not interested in regulating doctors, they are for 100% outright bans on any form of the procedure.
We know that's false though, just through polling. The majority of Americans support abortion with restrictions. Very few people support non-medically necessary abortions at 39 weeks for instance. So to prevent that, you need regulations to draw the line somewhere, wherever that line is being up for debate.