Smartphones are capable of computing and are sometimes very powerful, but the analogy is totally out of wack in my opinion.
If you can live without using an actual computer, it means you don't really need computers. You can check your email and browser the web on a Kindle, on your TV, or even your car.
Everything is a computer, then.
I think a computer is a productivity tool. Smartphones (and I'd definitely say tablets, too) are to consume content, not produce it. Some companies (most notably Apple I think) believe otherwise, but I think they'll have to come to realize that smartphones and tablets are horrible to produce most kinds of content.