First off, CRT is a red herring. It's an extremely niche framework for historical analysis and egalitarianism which is irrelevant outside academic contexts and only gained ground due to a racist asshole.

When it comes to DEI I think that your heart is in the right place - this is all about economic justice and if there were better ways to account for that it'd be an excellent thing to correct for (though, imo, the better correction would be to ensure all children had a genuinely equal chance at success). Unfortunately, because America has a long history of racism, race and poverty are strongly correlated.

The other half of DEI is that people tend to hire like. It's a deep social flaw but we need to acknowledge it - white men will tend to hire white men, a company composed entirely of black women will tend to hire black women... we have studies. Most entrenched wealth is held by white men and so white men have an inherent advantage in employment.

The last thing I'd highlight is that a rising tide raises all ships - your assumption that immigration causes an expansion of poverty usually hasn't been born out. In capitalism more people means more labor means more innovation means more wealth - there are some limits around resources but we're not near any hard limits in that regard.