What do you mean by "liberal"?
For e.g. neither Hollywood/Silicon Valley are "economically leftist"---they would be considered "liberal" in Europe, where "liberal" refers to "economically liberal", i.e. policies similar to "laissez faire" (which seems about right for Hollywood/SV).
On the other hand, they are also supportive of "progressive norms", such as "LGBTQ rights" or "multiculturalism", which are often bunched up together with being "liberal" in the US. However, being "socially liberal" is very different from being "economically liberal", and I am not sure there is any tight correlation between the two, let alone causative influence. In Europe, for example, there is a tight anti-correlation between the two.
So, what do you mean by "liberal ideology is a significant enabler of inequality"? Do you mean that "less liberal economic policies", or in other words "socialist economic policies" might benefit the region? Or do you mean that "socially liberal ideals" (which are essentially about caring for others, because you lack the belief that people are born where they are meant to be) have allowed for inequality?