If no one has mentioned it, many riders have totally different positions on the left and right turns. It's not uncommon.
I'd play with your body position and, also, use the "power steering" method from California Superbike School. push in on the tank, with the outside leg. Not only does it make the bike turn easier, but it can also be used to adjust the input if you're a bit reticent to turn. It makes things less complictated.
Also, I'm sure this was mentioned but, look where you want to go. People often get absorbed with overcomplicating turns because they are a bit afraid. I found that looking where I wanted to go cured this, in my early racing days. I allowed me to focus on things like points of reference and where I wanted to be mid corner and exit, without adding unwanted steering inputs.
Psychology is the biggest barrier to smooth riding, IMHO, and its often easily overcome.
Ride safe!