I'd like to see mild mannered Clark.
not bumbling fool.
but quiet, unassuming, perhaps a bit nerdy/awkard.
Even a guy like the Clark Kent from Reeves you'd notice his face more than if he just didn't do anything silly at all. Like I said, lets say you and I work at the same place. I act like Reeves Clark Kent or I act like anyone else you see at your job, I don't say much, or do much other than just do my job, etc. I am just a boring person. Which one of the 2 would you notice more?
As for Batman, I don't see why anyone would think that Batman would have to be a millionaire. You would also think that for the movie they won't be making it seem again like Wayne returns and Batman appears. He could have a motive but it would make more sense that a millionaire would hire a fighter (if he were actually behind it) than go do it himself. If people were to suspect a millionaire with a tragic past with beating up criminals 20 years after the fact, they would probably assume a hit-man paid off by a Wayne rather than actually Wayne doing it.
For Bruce Wayne, I'd think he should be portrayed more like a Wayne Huizenga character, that if anyone suspected him of anything, they'd suspect him (like they did Huizenga) of having ties to crime, or more likely to hire someone to do his dirty work than to him actually doing it himself. If they play it right, it can be done very well. If there were a vigilante running around in the world no one would say that it is probably Patrick Duffy (whose parents were murdered during a robbery) or Michael Jordan, or Kelsey Grammer or Dylan McDermott or anything like that. If someone was running around Chicago beating the crap out of criminals I seriously doubt anyone would say, "You know what? Michael Jordan did it".