The problem is simply not practising with the so-called weak hand.
While ago I gave up having a weak hand. Yes I'm right handed but I can shoot left handed also.
I simply got a .22 and started shooting left hand. Slow fire first.
Then I got a couple of dummy guns, all metal, that match my Glock 26 and J .38. I then started drawing and going through the same motions I do with my right side. Even got left handed holsters and mag pouches.
Did everything I'd do with the right side. Two handed shooting, one handed, hip shooting, draws from under t-shirt, etc...
At first it was awkward, but later I got used to using the left as well as the right.
I'm still a bit faster with my right side, but I'm more accurate slow fire with the left side now.
But I can go to any IDPA match and not look bad at all left handed.
"The government has confiscated all of our rights and is selling them back to us in the form of permits."