That gun is suggesting it has potential. It is your job to bring it into a better world.
I have one of those things. Only sight it's ever worn is a Millett SP-1 which has a 3 MOA dot. I think I've shot maybe 2 dozen jacketed bullets thru it, half hand loads with Hornady 240 HP and the other some Fiocchi 240 gr loads. The Horns did about 1.3" at 50 yards and the Fiocchi 1.1" @ 100 yards. Your dot covering the bullseye is no excuse, you just need to cover the BE in a symmetrical fashion with each shot is all.
More to the point, it does this at 100 these days.
Don't be afraid of goin' Quigley with this thing, it works.
Or, if you're afraid you have fat finger syndrome just try some regular cast stuff.
Only weighs 320 grains....
Yer shootin' 4 MOA 'cause you want to.....