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No, I personally don't think so. The basil is the taste you want to predominate so I wouldn't have it compete with the pico de gallo, particularly if that includes jalapeños. I would and have serve pesto with a chopped salad of tomato, onion, and cucumber. Obviously it's up to you to make the call.
Wouldn't do it myself, but worse ideas have found their way onto some pretty expensive menus- maybe try it when you're eating alone, though.