I've always tried to practice left (weak) hand shooting.
When in LE during building searches you lead with the gun, Not aways can you lead with your strong hand.
A guy needs to learn to shoot with his weak hand.
I've found, for me, I shoot better weak hand by cocking the gun about 15 degrees. (Being right handed that means cocking it to the right).
May not work for everyone, but for me it helps with recoil, trigger control, and sight alignment.
CPT USAR Ret
USAMU Sniper School Oct '78
Distinguished Rifle Badge 1071