I think it is indifference mixed with selfishness and a collection of many little or perhaps not so little power grabs. One example might be that poor people can't rent a flat somewhere they can have a good life, because everybody else is already there and this is expressed in a rent poor people can't afford.
Another little power grab: Call a taxi when it is raining heavily, and you beckon strongly and the taxi is stopping for you and not for the handicapped woman because the taxi driver saw you first. When you are already sitting you suddenly see the woman outside and you realize that she needs the taxi more than you. It is sort of an effort to get out and tell the taxi driver that she was first. It is easier for you to just drive away.
It is war if people expressly try to hurt poor people. But I just don't think that the majority of well-off people are this evil. They are mostly indifferent, selfish and enjoy the benefits of the power grabs they do.
This said, I agree with you that many people in the USA are strongly indifferent and selfish and they justify this with saying that they live in a meritocracy and that everybody had the same chance to be successful, and if a poor person is not successful it's their own fault. But that's not hatred nor a war.