Yes that will work. Or you can buy an upgraded trigger like the ALG, but i believe with it you need to get trigger pins, a spring, and the retainer also.
Hey Cap,
I recently put together one of the GF4 furniture ready kits from PSA.
I used the PSA enhanced nickel boron fire control group.
It works flawlessly and feels smoother to me both shooting and cycling the action.
Very little polishing of the hammer is required, if any.
So I can recommend it with confidence.
One caveat though, be prepared to enlarge the hole through the trigger to accept the bushing.
I used a round file and worked carefully until the bushing just started then tapped it in the rest of the way.