Yes, clearly capitalism provides incentives to develop and innovate unlike any other economic system. It is why every democracy in the world today has a mixed market economy - they are intelligent enough to realize the benefits. Here are some facts about capitalism's success over the last 200 years:
World GDP per capita has increased from $700 to $6000 from 1800 to 2000. Life expectancy in England in 1800 was 40, today it is around 80. In 2005, as compared to 1955, the average person on Earth earns three times as much money, ate one-third more calories of food, buried one-third as many of his/her children, and could expect to live one-third longer. We are less likely to die from war, murder, childbirth, accidents, tornadoes, flooding, famine, whopping cough, tuberculosis, malaria, etc. People are more likely to be literate and to finish school. Only six countries are poorer now than they were in 1955. The average South Korean lives twenty six years more than they did in 1955.
The poor in the developing world grew their consumption twice as fast as the world as a whole between 1980 and 2000. There are fewer people living in poverty today than in the 1950s, in fact, it has dropped in half. It isn't like the 1950s were even bad. The 1950s was the best time the world had ever seen up to that point. We have just improved dramatically from what was already an all time high. Today, of Americans that you would consider poor, 99% have running water, electricity, a refrigerator, and toilets; 95% have a television, 88% a telephone, 71% a car, 70% air conditioning. In 1970, only 36 percent of all Americans had air condition, in 2005, 79% of poor households did.
Inequality is declining worldwide. It has increased in the U.K and U.S. since the 1970s (which, by the way, have improved for the last two centuries), but has decreased on the global scale, which is more important. The growth of China and India is bringing about a global middle class.
I doubt a different economic system would do as much as quickly.