That would work. If you buy one on turn 3, then you can get 2 more on turn 4, and probably 2 more every turn. You'll probably be able to trash the Mint with the Doctor once the FG pile out, and maybe trash last 2 coppers as well.
Stonemason might be able to make something good out of Mint and Doctor.
Squire is a very fast way to get some Silvers to mint.
Any other card with +$1 is a guaranteed a silver gain Silver the next turn. Lighthouse is a guaranteed Silver, then a guaranteed $5 with another Silver gain.
I could imagine a deck where after this point you just keep buying Candlestick Makers might work, but it's probably too slow Maybe with Bakers once you start hitting $5.
Many $2 cards are useless, of course.