In the US, to this day, we have terribly segregated and unequal communities where "never trust whitey" is a survival strategy, especially when it comes to police.
For my part I was taught that not trusting people on the basis of race was racist and that I shouldn't do it. I was taught that making general assumptions about people based on race was racist and that I shouldn't do it. I was taught all this as early as kindergarten.
Sure there are some areas today where "never trust whitey" might still sadly be a survival strategy. You could also say it's a survival strategy for a black person at a Klan meeting. The issue is applying it as a general rule as the parent poster did. We're not going to solve any of the remaining racial inequalities if people categorically refuse to trust each other on the basis of race. That's arguably the definition of racism.
Maybe it's a lot worse than you think, because a lot of people with actual experience being black seem to say so. The people who say it's not are, IME, the people with the least experience.
It is not on individual blacks trying to get by in their day to "solve racial inequalities". It is on those of us with privilege and power to ally with those without such privilege and power and fight with them, not to demand that they do stupid and self-harmful things because we, the privileged and insecure, would like to believe that things are just great.
Things are really, really bad for a lot of people right now. It's worth considering their viewpoints before foghorning your way in with yours.
A critical part of "moving past" this means recognizing that we are not past this.
A lot of people treat things like the Civil Rights Acts or the Emancipation Proclamation as a faucet. Turn off the faucet and racism is fixed. In reality, it's more like a house fire. It raged bright for a long time, thankfully you put it out. Of course you can't move right back in. There's cleanup to do. There's rebuilding to do. You wouldn't tell the family outside the just-extinguished fire to "move past" it.
White people (myself included) are insulated form a lot of these effects, so it's important we stop and force ourselves to consider them. It's too easy otherwise to pretend the fire's out and everyone's peacefully dreaming in their beds.