And so, the US dollar, along with the Euro will remain the prominent currencies, but they will lose some leverage and the competitors will gain some influence. In the long term, I'd expect there to be more volatility in exchange rates, and US foreign policy will lose a tool that had been used too often for the wrong reasons.
This emerging bloc of countries are bound to become active in testing their newfound power, and while it might not hurt America, it will diminish our influence in the world.