I think it's only theoretically possible, in practical terms it is not. With enormous wealth inequality you get an oligarchy class who will use their wealth/power to chip away at the societal stabilizers that would keep the worst excesses of wealth inequality in check like the social safety net, strong labor rights, etc.

In any case, I agree that selling out the lower classes for is pretty much guaranteed to make them angry, resentful and susceptible to the charms of right wing populists wanting to ascend to power upon a platform of blaming one or more convenient minority scapegoats.