White people that actually support BLM will understand that the inconvenience is necessary.
The level of inconvenience is important, and that should weigh against the injustices being protested. How a movement communicates their grievances matters as well.
It's easy to post that "diet racism" gif in response to anyone who attempts to discuss this matter in a way that isn't in full agreement with you and/or BLM - shut them out, accuse them of racism, etc, pretty much be that caricature of "liberal" being lampooned on South Park and elsewhere right now. But context and circumstance does matter. MLK/the civil rights movement of the 60's shut down roads, towns, and public transit and gathered millions because the injustices were astronomically higher than they are now. Many of the BLM protestors have gone beyond the cause of highlighting the problems with institutional racism in law enforcement into questionable territory. I mean, complaining about privilege and such when they're in college in the richest country on earth, name calling and deriding and bullying? Interrupting rallies for the most progressive presidential candidate running? They are becoming as incoherent as Occupy became.
I support BLM at its core; I recognize that there is a serious issue with institutional racism within the justice system, law enforcement, and the prison system. I can accept all of that
and at the same time point out that the way these protestors are going about their business is wrong headed and hurting their own cause. It's a complex issue.
They are making actual racists sound reasonable to people who are in the middle or who haven't been paying attention until now.