When you rebind auto-run to a different button, the target switch and zoom in/out go with it. As far as I've been able to determine, there's no way to change that.

You press R1 and it changes cross bars, but if you do it while a cross bar is active, L1/R1 switch targets left to right. I have my L2/R2 set to mixed, where if I just tap them they stay up and I don't have to hold them, because holding them down is uncomfortable, and prone to mistakes if you accidently let go of them. Also L1/R1 become target monsters only when the cross bar is active. As a tank or melee, this makes targeting infinitely easier when lots of monsters and party members running around.