There seems to be at least two issues here. (1) the financial empowerment of a religion and (2) the foment of hatred within one culture for another. The mixing of these two issues promotes the ludicrous idea that hatred is created in a culture by the culture that has enriched it monetarily.
Without doubt, the financial empowerment of radical Islam has taken place through the West's consumption of oil, and it can be argued, a continuing empowerment by the West's refusal to earnestly develope and employ alternative sources of energy. But, this does not justify, explain, nor place blame on the West for the hatred aimed at it.