If we did, its possible we might actually accomplish less actually. Frequently competition drives innovation. Its just how humans are wired, and I'm not sure we can do anything about that.

Edit: I see we have doubting downvoters. Why did the USA land on the Moon in 1969? Because they suddenly wanted to? No, because the Soviet Union was the first to space and first human in space. After the Apollo program ended in in 1972, how many times did we land on the moon? Zero. How any times did the Soviet Union land on the moon after the USA did? Zero.

Suddenly in 2005 the USA started to get interest in going to the moon again for the first time since 1972. The first Chinese astronaut made it to space in 2003. Is that coincidence? Currently the USA is trying to get back to a moon landing by early 2008 (they're not going to make it then). China is scheduled for their first moon landing in 2030.

For giant leaps forward, humanity appears to need conflict and competition.