Look at the Bitcoin whitepaper once more: a peer-to-peer electronic payment system indeed. Was Satoshi really envisioning a payment system so widespread that it became a preferred way of paying for goods and services? What's happening today? Bitcoin is now more of an investment than a payment tool.
Satoshi's vision was not just for today it is for the future because he's so far into it. Bitcoins right now may not to be a peer to peer system, but the future is not yet here, and what we are experiencing right now are all the activities that will occur before the final goal of bitcoins are achieved. We may not live to see bitcoins become a globally accepted means of payment, but we are getting there, and there is a greater chance for it to occur, than for it not to.
Patience!