Oh yes, it's clear that a lot of Left-Wing race-based groups and movements are racist toward white people. Very much like feminism is female supremacism, Black Lives Matter is a black supremacist movement - if it really cared about equality as a whole, it would be called All Lives Matter and cater to all races being given equal treatment and respect, which would be great because that is true egalitarianism, but it's not. It doesn't care about Native Americans, a group that has been persecuted far more than the black race ever was, or South or East Asians, arguably not even Aborigine Australians who are also technically black given they have the same skin tones. Thus it definitely doesn't care when behaviours that are racist toward whites crop up.
There are government and institutional measures already implemented that are definitely racist toward white people, in their own countries, yet nobody shows any objection, because the Left would immediately deride them as 'racist' and encourage the mainstream population to ostracise the person in question, all because it is contrary to the agenda these organisations preach. Thus does the Left suppress freedom of speech, which in itself is contrary to the 'liberal' attitudes it wants people to think it advocates. One classic that I recall reading about not that long ago is that one primary school here in Britain was marked down by OFSTED for having 'too many white children' - clearly a racist term that would prompt huge outcry if it had been targeted toward a school with a majority black attendance, but nobody bats an eyelid because it doesn't fit the agendas of the Left. Businesses now have to employ a minimum number of people of colour that they need to satisfy or else presumably be taken to court, yet there's no such minimum for whites - under these regulations you can have a company that is entirely staffed by non-whites, but not a company entirely staffed by whites. You've probably seen how modern television dramas always seem to have to include at least one black character, even in historical scenarios where such a thing would have been extremely rare and unlikely, yet I couldn't see that minimum requirement being applied to whites.
And the thing is, some white people do take a great level of offence at this 'special treatment', and they're the ones who often end up joining White Supremacist rallies and other extremist groups on the other side of the political spectrum, which then commit hate crimes that upset these Left-Wing groups, but instead of defending 'minority' races as being equal, they want more than that, and strike back by committing hate crimes of their own and/or demanding more of this 'special treatment'. Not to mention that they will not be satisfied until, in their eyes, they have achieved 'vengeance' for things that were committed in the past, largely incidents that occurred hundreds of years ago involving individuals with different attitudes to the more tolerant views of today. All of this petty behaviour, as you say, thus causes ever-greater levels of division between race populations, which is only making the problem worse.