Right hand carry, left hand carry, appendix carry, crossdraw carry, anal carry, bra carry....????
I would submit that the methodology of carry is not nearly as important as having TWO guns. By all means, carry your primary in your dominant side if that is your normal preference...but have a second gun of an effective caliber on your left side that is immediately accessible. You will find that addressing an assailant in the passenger seat, or passenger side back seat is not an exercise in gymnastics or yoga. Just make sure that your right arm is up and out of the way, which it probably WILL be as you will probably be using it to fend off the physical attack of the assailant. You will be at or near contact range when you fire, so addressing your sights isn't even important at the mere inches you would be from your target.
It can be problematic if someone is directly behind you...but sitting in your car and sussing it out will tell you how best to address that eventuality. Also, think about simply telling people...."There is more leg room on the right side, and you will be more comfortable" or possibly "I think someone spilled water on the left side, you might want to sit on the right".
Finally....Uber policy does NOT have the weight of law, nor does a corporate policy trump your RIGHT to survive. Carry on...pun intended.