A normal market would partially address this by adding doctors. In the USA, new medical schools have to be approved by the AMA.
"But when you have kids, you jump the line. You just do. If you have the money, would you not spend it for that?"
Unregulated markets do not work for this type of irrational actor. Please stop spreading lies about how to fix this problem. Instead maybe look at countries that regulate it correctly(Spain).