The idea of Organon is straightforward. Merck held a lot of assets that might have benefited from a mature brand strategy which is not where Merck wanted to devote it's resources. Hence, these assets were not being maximized to the extent that a smaller hungrier organization might. So, Organon splits off with these "old dogs" and will attempt to make some of them into "cash cows".
Organon will very much focus on business strategies, product marketing, and working with the molecules in hand. Merck will continue with a focus on potentially high value targets coming from innovative R&D.
I think the leadership of Organon has a European heritage, hence I would expect to see them focus on maximizing value in specific markets. Initially, they may "sound" like Merck but will over time drift into a truly distinct organization.
Keep in mind, Express scripts, formerly Medco, was once a part of Merck and is now very much it's own unique company.