Case in point - Silicon Valley has probably an average IQ around 120-130. How many truly planet-saving innovations have been created there? I mean, you fail to eradicate powerty in SF, your backyard. Because why bother if creating ever new and exciting ways to share cat pictures is infinitely more personally rewarding in the short run and who gives a f about anything else?
So, my point is, higher IQ is not a solution in and of itself, since human nature - instinct to care about oneself first and foremost, will still be present. This instinct can be only tamed by education, culture and political and social structures that promote common good. The chances that a society will evolve these kinds of structures is a toss-up. It is a lot more likely that the outcome will be exactly the same as what we see now - much like adding a 1.2 multiplier to all stats for both mobs and pcs in a computer game - numbers are different, but it is still the same game.
The key is culture, and education, and conscious work towards better social, economic and political structures. But I am quite sure that we will all kill ourselves a long time before any of that will happen.