2 mice, 1 pc, 2 orientations. How do I make this work?

I have 2 mice. Both are designed specifically for right hand use. I modified one to work for the left hand, but it rotated that mouse's orientation 180 degrees. So, how do I rotate it another 180 degrees so that it's properly oriented?

The problem is that I use both mice, & it looks like I can only setup one profile. I don't want to have to go into the settings & re-orient every time I switch mice.

Any ideas? I need one mouse to have its default orientation, & I need the other to have its orientation flipped 180 at the same time.

thanks in advance