That's not true. Google "red-lining." Black people face considerable housing discrimination that white people simply do not. Studies have also shown that people of color face longer prison sentences for the same crimes. It is false to say that all poor people have the same experiences.
You are absolutely right that black folks face longer jail terms than white folks for the same crime - but we still need to fix poverty - we can work on this on its own, or after - removing poverty will greatly reduce the amount of crime anyhow, most of which is driven by a need to survive and lack of opportunity.
In other words, would you agree that a poor white person has a much harder life than a rich black person?
Having much experience with both demographics, it's clear to me that this is the case, which is why I also wish the conversation were focused more on poverty than race.
Yep. And yet the same effect exists for men (vs. women) and is about six times as strong. Yet our society is "obviously" sexist against women.
https://www.law.umich.edu/newsandinfo/features/Pages/starr_g...
'After controlling for the arrest offense, criminal history, and other prior characteristics, "men receive 63% longer sentences on average than women do," and "[w]omen are…twice as likely to avoid incarceration if convicted." This gender gap is about six times as large as the racial disparity that Prof. Starr found in another recent paper.'