Bitcoin is generaly cool idea, but isn't it unfair?

I calculated that if almost everybody in the world would want to use a bitcoin as a main currency, then one bitcoin would cost about 1 million dollars!

As I understand it isn't technical problem, but people dont like unfair systems and this is why bitcoin can't spread freely I think. It is unfair because some of you already have a lot of bitcoins and the onese who are late will haveto pay too much for what the "rich" onese got for almost free.

I bought 10 bitcoins today and payed about 10 dollars. But first ones who used a bitcoin client did get same amaound almoust for free. If I think about that - I don't want to buy more bitcoins.

What do you think about that?