People weren't amused at all when James Watson said that intelligence is heritable, and that like basically all other heritable attributes there is a difference between the average of different "races". [1]
But while we are fine with different genetic groups having different incidences for hair color, nose shapes or skin pigmentation, and are slowly coming to grips with different genetic groups having different incidences of various illnesses, and sometimes different reactions to them, the idea that different genetic groups could have statistically significant intelligence differences feels wrong.
For most people differences among different groups stop at the brain ;)
The reason it's important to know, regardless of what the answer is, is that policy should be informed by reality. If we find that general intelligence is 80% genetic, or 40% genetic, or 0% genetic, this would have starkly different impacts on how we choose to educate our children, how we choose to recognize and/or compensate success, etc.