Pop off the badge (saw behind it with fishing line), douse the whole area with 3M adhesive remover, wash off. Touchup paint, 2000 grit sand, compound and finish with a finishing polish. I'd compound just the sanded area and then finishing polish the whole panel, but its up to you. It wont be 100%, but it'll save you a ton over respraying, and since the badge draws your eyes to it, you wont notice the repair from more than a foot or two.