This looks like it'll be glacially slow, even for battle cruiser magic. A large portion of your mana base comes in tapped and most of your creatures need devotion to be creatures. Even then, for some colors, you'd need almost every permanent of that color to fulfill your devotion needs.
Nyx Lotus seems unlikely to ever be worth the cost. The shrines look misplaced here. Individually, they don't do much, and it's unlikely you'll get
Sanctum of All in most games without tutors.
Since budget decks in five colors are really hard to pull off, I'd recommend finding a good two color combination you like. If you're determined to play five colors, check out WizardSpartan's primer on dual lands in EDH.