Its production will drop by the half every 2 years, what happens when it reach numbers close to 0?

I know people who mined from the start will be rich, but what happens to the economy? People will stop to mine, how will the p2p network keep going?

I'm asking because I see bitcoin as a way to free myself from my government, I'm a libertarian, and I'm having a hard time to figure out how would bitcoin be a persisting solution for international currency.

I've done some researching, and there are a lot of people who consider bitcoin a pyramid scheme, including the developers of solidcoin.