This is a big part of the problem with MOS. The Clark/Superman dynamic. The differences in the two characters that are the same person. That is a core element of Superman that is loved but that was basically passed over in MOS.
Just a thought for you. In MOS there wasn't a Clark/Superman divide because there was essentially only one character, Clark. When Lois runs up to him after the battle of Smallville, what does she call him ? Clark.
Even Zod calls him Clark. Really, for the purposes of MOS,
Kal-El and Superman are just names, the person stays the same.
(in the Reeve films they are almost two completely different people)
In the original Superman film there's a great scene where Reeve shows up at Lois' apartement, after Superman has taken her out for a fly around town.
Anyway, she's in the other room, and he's waiting there as Clark Kent.
He takes off his glasses and straightens up and says "Lois there's something I've got to tell you." but then changes his mind, slouches and put the specs back on. Anyway, that scene really worked, but mostly because Reeve
did such a good job of selling the change.
In MOS Superman is only mentioned really once, and he's not a separate persona at all. To be honest, I kind of preferred this.
It doesn't matter if he's fighting Zod, giving his mom a hug, or working on
a fishing boat, he's still Clark Kent.
In MOS its about a guy finding the missing pieces, filling in the gaps, the quest for identity. So he's not trying to be two different people, but
trying to be one person, complete and whole -trying to reconcile why
he's different from everyone else while trying to blend in.
In fact, if you think about it, at the end of MOS
Perry White, Jenny and Lombard all see Superman reasonably closely
(before the big smackdown with Zod)
if Lois was smart enough to work out Clark's true identity without
seeing him, you would think that they'll work out that Clark Kent, a guy
they'll be around up close, is actually Superman -which would make
sense.
Hell, half of Smallville (those that survived anyway) will know that Clark
Kent is the guy in the blue S costume (Pete Ross sure as heck will).
Maybe part of BM v SM, will be Clark learning from Bruce, the importance
of having a separate identity, away from costumed crime-fighting,
to protect those you care about, but also to have a break.
So, I'm glad they skipped over the Clark Kent/Superman distinction, I thought
it worked, but that's just my opinion. Maybe it'll feature more in subsequent films, we'll have to wait and see.