In the past, the companies formed from a broken up monopoly are competitors. The company isn't broken up just along business lines.
Even if they were forced to use a different physical building, they could form a corporate alliance and share customer loyalty.
What makes them choose to compete, when given the choice?
Seems easy enough for the broken up Instagram and whatsapp to instantly declare insolvency and close up shop while conveniently getting jobs for the newly formed Facebook photos app that would also be conveniently released at the same time.