Depends on how you view fixing income inequality, I would imagine. For example, I don't think you could simply give the poor loads of money and suddenly their kids do well in school.
Personally, I view it as an education problem first and foremost. I think the incoming inequality is a red herring, and people are focusing on the wrong problem.
Yes, fixing income inequality is required. Yes, fixing income inequality would improve education to a degree - but my contention is that people merely having money won't help the broken education system. Not everyone can go to private schools. Furthermore, "giving people money" in college tuition has been part of the problem in driving prices unrealistically high and reinforcing predatory systems.
In my view, focus on education first. More educated people make smart financial decisions. Educated people make better decisions about their life, risk assessment, and quality of life. Educated people raise better children. Educated people are more difficult to fool in blind party politics and do-nothing politicians/systems.
Luckily we can do both, education and inequality, but I don't think we can or should expect to ever fix income inequality without at least in tandem fixing education. We need capable humans, and education is the only way to do it; I think.