Wow. That's really ugly. And I can see how the plumber screwed up, with the cold water on the left instead of the right.
If it were me, I'd do all my work above those shutoff valves.
I'd start by checking to see if by some miracle the cold water hose on the left could simply be switched over to the fitting on the right. The threads might be different, but if they are the same, then you're golden. If that worked, then I'd get a basin wrench to remove the rigid hot water pipe from the faucet and replace it with a flexible hose.
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