ANTAGONISTS:
Maxwell Lord, Lex Luthor, [*spoiler*]
Lord introduces himself to Superman, and convinces him to use his powers to serve his country. After a few routine rescue missions, Lord pushes him to do more: mass disarmaments, pre-emptive strikes. Superman realises this is heading towards assassinations -- "wetworks", Lord corrects him -- and wants nothing to do with it.
Turns out, Lord has been subtly using his telepathy to "convince" Superman to work alongside him. This comes out when he gives up on subtlety and tries to full on control Superman. This does not work, and Superman escapes.
Lord complains about how he lost control of Superman, before saying that at least he has control of one Kryptonian. Luthor reveals himself, says it's natural he lost control of Superman and cautions Lord against believing he can control the clone.
Reports come in of Superman's activities when he and Lois know he's been elsewhere. They trace the "other Superman" to Lord. Lord... lords it over them (cough), and reveals they've created a cloned Kryptonian.
It's Bizarro, but not as we know him. After all, Superman's DNA has been hard to get hold of, but they do have access to another source of Kryptonian DNA... welcome back, Michael Shannon! Yes, Bizzaro is cloned from Zod.
While they fight, Bizarro starts to degrade (looking closer to his
Red Son appearance than the classic look). When Lord tries to take control of the increasingly erratic Bizarro, it snaps his neck (maybe even the same way Superman snapped Zod's).
Not really sure how it'd end.