The biggest problem with supporting or opposing the BLM movement is the evidence.

You might say that blacks commit more crimes than whites. But police have discretion in who they charge, and you'll never know who was let off easy. Geography also plays a role. So does population density, and poverty.

You might say that police pull people over for "driving while black". But good luck proving it, even if it were true. You can be stopped for any traffic violation, and most people dont know them all. Even if you could demonstrate that blacks were pulled over more often, how could you say that it wasnt due to the other factors above? Like being in a high crime area?

You might say that there are many many videos of police misconduct against blacks. But only a few have surfaced which, imo, demonstrate such misconduct. Even so, with millions of people in the United States, how can a few videos possibly be demonstrative of the group as a whole?

The evidence to support a "us vs them" claim just isnt there. Are blacks whiny fake-victims? Are the police discriminating against them? The evidence needed to support either claim is not something we currently have available to us.