I'm really confused as to why some people seem to be immediately read-in on his identity and his affiliations, and some people are completely clueless. After the bombing, Miles sees him, but presumably nobody else in the vicinity survived, so it's unclear how many people actually witnessed and recognized him at that point in time.

When we get control of Peter again, he's already aware of what Mr. Li is up to, but the police don't seem to believe him based on the conversation. It's unclear if the police simply can't act without evidence, or straight-up haven't seen anything to indicate Mr. Li was involved at the scene of the bombing and aren't even looking into him, but it seems as though his identity isn't widely known. Shortly after, Jameson starts ranting about Martin Li and the demons, as if it's a widely-known public fact. Considering how many people listen to his show, lots of people should at least be entertaining the idea, but when you go back to the F.E.A.S.T. center, Aunt Mae seems completely oblivious, implying it's NOT common knowledge.

After you finally defeat Li, there's a Bugle post on the social network saying he was behind everything, once again making it seem like the general public was NOT aware of his alter ego, and it's supposed to be a "shocking" revelation. I can buy the general public being clueless if the police weren't 100% sure it was Martin Li, but JJJ specifically mentioned Martin Li and the demons in one of his podcasts back when the police still didn't seem entirely convinced it was him.

Finally... Peter calls Miles after the news "comes out" and says he understands if Miles didn't want to work at F.E.A.S.T. anymore... presumably because of Martin Li. But Miles was one of the few people who DID see him at the scene of the bombing, so this seems like a conversation that should have happened BEFORE he started working there, since it also seems to be common knowledge that Li was the one who started the F.E.A.S.T. program. I guess Miles could have been uncertain about who he saw or figured there might be an alternate explanation, but it still seems like a weird choice for him to get a job working at a place with a connection to the guy responsible for his father's death.

And how did Jameson know Martin Li was involved when Peter hadn't even found any evidence himself yet?