You don’t have a choice to look for another doctor. This has happened to someone I know personally. You either get all the vaccines they think necessary, right then, or they call CPS and put you under investigation.
I personally asked why my child needed the Hep B vaccine immediately after birth and was told it was necessary and any refusal would necessitate a call to CPS. This was at a major hospital in the biggest city in the state.
Are you in Canada or what state? I’m not saying it doesn’t exist.. I have never heard of such strict guidelines that the doctor would call CPS over an extended timeline. Very sad indeed.