It depends, really. It would take some time to build up, but it would require a massive change in thinking.
You have to remember, most athletes are from fairly humble upbringings or outright poverty, so that sports gift is a mealticket, something to live above mediocrity. That and fame and power are the allure that the current system hangs over people's heads. You would need everyone to withdraw and shun the system at once. Issue is, people have families, lives, obligations, etc. not everyone is selfishly reaching for the big leagues, so without being able to offer similar lifestyles and windfalls, people are going to take their gifts to make the most.
If there was a possible way to tip the scales, the power and wealth could be the biggest stimulus the community has ever seen...assuming the people who run it dont sell out.