Will the new fixture mount on the Starboard piece? Otherwise, it's starting it's starting look a little 'gomey', in my minds eye.

If the counter is a simple removal and has an easily removed edge trim, it might be easiest to remove it and - if it's a laminate top- stick another piece right over it(plug the old holes first). Especially if it's showing it's age anyway. And that can also make the new faucet installation much easier.