That's a doozy.
I could be wrong, but after looking at your photos for a while, the best solution would be to disassemble the whole setup and reassemble it correctly.
Flipping the bars would be essentially the same process. It would require removing the handles/bearings/men.
If you moved just the handles to the opposite sides of the rods, you would likely run into spacing issues with the handles not reaching the bearings properly - definitely for the 5-bars.
So, you might be able to just flip all the handles and end-caps except on 5-bars. I think you're going to have to disassemble those rods entirely.