Why the divide? The middle class already pays most of the taxes and not getting the benefit as much as the lower income earner and now they are not getting help as well? If you want to make the divide why not just the really high upper income earner vs the rest of the population, since most people in middle class, though they have savings more than $15k are just regular people like you and me, with families and responsibilities.
I personally don't like it, and I think a lot of middle class won't like it. If you want to do something like this then do it like Andrew Yang, no questions asked to all.
I'm not a lower income earner, but I don't have big ticket items as well (not even a car or house).