To get this out of the way now, Kaito still won’t kill anyone. Even if he’s a darker version, he still won’t go that far…. For the most part. He is more willing to hurt people, however.
Kaito largely acts the same. He’s aware enough to know that if he acts as different as Kid, it’ll just be even more suspicious. However, he does taunt Hakuba more and his pranks are much more mean-spirited. He doesn’t do as much simple and nice magic tricks, and he’s not as likely to cuddle, sadly. He spends more time alone during his free time, as well.
As Kid, he still uses his same tricks, but he’s a lot more likely to start aiming his gun directly at the police and possibly the detectives. Traps won’t be as silly and focused mainly on just hindering, either. Pandora is still his main target, but he’s not as focused on it as he normally would be, choosing to go after whatever he feels like he wants on the side. He will not voluntarily return what he steals to anyone, and he’s much more antagonistic towards the people looking for Pandora and Spider, directly provoking them and attacking if they do show up.
He does still like who he likes, though. The only problem with that would be, he’s more possessive than protective, and he doesn’t care if what he does might hurt them.