Item Balance Idea: Separate Power and Ability

So one of the things I had been thinking might be good for League and help counter some of the ridiculous snowball and how overpowering some champions can become is that the Power enhancing effects (IE: +70 AD, +120 AP etc.) should be on separate items from the utility/ability effects (IE: Lifesteal, Extra Damage, etc.).

As it is right now, its fairly easy to afford an item like Ravenous Hydra, Blade of the Ruined King, Deathfire's Grasp etc. that not only give you an immense power boost but also give you extra abilities to boot. These provide massive increases in strength in only a single item; and make builds kind of linear and not very open to personalization/preference.

So what if we separated them, so that you had to pick between pure power or more abilities/utility, or buy both items (and take up 2 slots) in order to have both? It would definitely tone down the ridiculous snowball in League, and maybe make options for how to build your champ a little more interesting.