If you can pick your nose with either hand you wont have a problem. It is not like wearing the left shoe in your right foot.
As a righty I may be biased (or-- groan! – insensitive), but I think this is a non-issue. Reason: the great majority of pilots who are right-handed had to go through an initial ambidextrous adjustment in learning to fly.
By extension from the rest of life, you’d assume that the yoke should belong to the dominant hand, since it must be controlled in a more varied and subtle way, with prop/power/flaps relegated to the pathetic “off” hand, since they’re simple slide or switch controls. But every righty soon learns to control the yoke with the left, and do power with the right. In the 99 per cent of flight time when you’re not copying clearances, the lefty is actually at an advantage, with his “good” hand on the yoke or stick. The one per cent is a problem for the lefty, but manageable (like a lot of other problems, such as opening charts) by flying with the feet, or trim, or the autopilot, or whatever.
My point in writing this: I view flying in general as a reminder of people’s underlying ambidextrousness. If the standard pilot’s seat had started out being on the right, and someone proposed changing it to the left now, righties would protest en masse about the error of forcing them to fly with their off hand.