Instead of the CoP: Red in sideboard, I would play Solitary Confinement (same matchups you mentioned + added protection vs combo).

I would change the 2 Emrakul to 1 Emrakul + 1 Progenitus. This way you put 2 creatures into play with Defense of the Heart that have some form of evasion and protection, instead of an awkward Emrakul and Enchantress.