I don't see this happening in any substantial way but most importantly, I don't know. What I am sure of is that we need some data indicating a problem exists before we start thinking about its cause and consequences; otherwise it's just speculation built upon the foundation of more speculation about something that may not exist, and if it does exist it may be completely different than what we imagine.
I can think of a story where it doesn't exist, FWIW: Americans love success and praise the wealthy. Many working class people support the Republican Party, whose policies generally are aimed at helping the wealthy (e.g., reduced tax burdens), and its current billionaire presidential candidate who openly celebrates his wealth. A famous book from a few years ago was "What's the Matter with Kansas?", asking why these people apparently vote against their economic self-interest.