A part the ultimate cut doesn't fix, maybe even makes worse, is Batman turning on his signal and waiting for Superman to show up.
Timeline is Luthor spots the batsignal, calls KG Beast to kidnap Ma Kent and Lois, Lex talks with Lois and tosses her off the helipad, Superman arrives and chats with Lex, and finally Superman confronts Batman in Gotham. We're talking, let's be generous and say two hours of Batman standing on that street waiting. Makes Batman seem like a dork. Maybe he's listening to a podcast to kill time.