[There's going to be a lot of reevaluation. It'll be fun for Law when he learns Ace is as much of a Problem Child as Luffy. In any case, Law doesn't need to be talked into trying to be covert. He straightens up, still putting forth a concerted effort to remain composed. It's not too difficult because frankly it still hasn't fully sunk in that Corazon is here, alive and definitely not a hallucination or anything. Give him a while. He's certainly not going to let his composure crack now that he's been reminded there could be other people around.]

Given I assume the World Government doesn't have jurisdiction here and there's no Poneglyphs to fight over, I can't imagine there's any real reason for concern but you're right, it's better to err on the side of caution.
[He holds out a hand, with a somewhat skeptical glance.]

Are you going to be able to make it back over the bridge without falling over or should I do it for you?
[He's had his bird dad back for all of five minutes and he's already being mean.]