Actually, the best person to choose to perform a circumcision regardless of your religion would be a mohl.
They perform them for non-Jews all the time.
An sbstetrician delivers let's say 100 babies a year, 50 are male, let's say half in the U.S. get circumcised....that 25 a year. How many of the docs refer the parents to someone else? Basically, a physician may perform 12 to 25 a year.
How many does a mohl do?
Find A Mohl
There's mohls listed who have over a thousand under their belt (no pun intended) and have 25, 30, 40 plus years experience.
From what I understand, the Queen of England chose a mohl to circumcise her sons....it just makes sense, they are more experienced.
Plus, they work for tips..
BTW, Reformed Jews DO NOT have to be circumcised.