What are some of your predictions for Superman Reborn? I think both Supermen and Lois's will merge. Remember, New 52 Lois is also dead. And just before she died, she called out for Clark and said she understood now. I think we may eventually get back to the pre-Flashpoint universe complete with a JSA during WW2 and most, if not everyone, getting their old histories back. There are some rumors that New 52 was never meant to be permanent. Jon stays in the picture with his history for obvious reasons. Whether or not Conner will ever come back remains to be seen. With Jon as the official Superboy, it's questionable what, if anything, he could return as. Hopefully not a villain.
What I prefer is for the two Supermen to remain separate just because I think it would create continuity problems to merge them. Give New 52 Superman his own team and maybe a different name. Let Superdad keep the main books. He has more to work with anyway. You can still call him Superman. Like the Kingdom Come Superman in JSA. As long as the two versions more or less stay separate for the most part, there's no reason why it couldn't work.