From talking to some petit bourgeois types, I think the issue is that they more staunchly believe in the american dream than everyone else. I built my success. Lazy people are stealing my hard earned money with taxes and medicare. My family and my needs come first. As long as they can afford luxury goods they'll fully believe in themselves over others.
And the worst part is that some of them were immigrants who literally started at the bottom.
I think if capturing the western petit bourgeoisie is a goal it will be a difficult one. Most of the well read dirtbag leftists with the willpower to act don't seem to be able to relate to these people at all. And they seem more likely to join conservative trucker or farmer protests than anything with proletarian character.