"Is Inequality Caused By Capitalism or Statism?"
Nicely done. Capitalism isn't the culprit, crony capitalism is. (Every introductory economics course should discuss this.)
History provides ample evidence that when allowed to function properly free market capitalism generates massive national prosperity with high employment, a strong currency and rising standards of living. It is only when the state manipulates and over regulates free markets that capitalism fails. However, capitalism usually takes the blame for the failures of statism.