After climate change denial, inequality denial

I think the reality is a bit more grim. At each step up from abject poverty the castes population decreases and their control of resources and the means of resource creation or refinement increases.

Each person with a shred of control over resources or the refinement thereof depends on these controls for their livelihood. At the absolute highest levels people like (bezos, gates, zuck, buffet) are insulated from these effects. Most everyone else is not and is thus dependent on their control of their assets to maintain their lot.

Obviously the haves will increasingly fight any attempts to "take" that which they feel they have "earned" regardless of their actual culpability or the overarching societal benefit of their companies. I've seen the haves in my city block everything from increases in public transportation, to public housing, to higher density housing, to bike lanes, wider roads, ed funding increases, sports funding decreases, interstate/highway extensions, and the list goes on. For each example there's a handful of vested interests that lobby until they're redder than tomatoes and screaming bloody murder of infants. Conveniently they always get plenty of airtime on the nightly news and in the local papers whereas their opponents get smeared, their arguments misrepresented, or outright ignored completely.

These problems would be far easier to solve if people weren't lying en masse at every step.

Not at all. Inequality between countries is a different problem than inequality within a country (which is obviously meant in general). It has different effects and requires different solutions.