This tensions will not lead to a war, at least not now~
I don't agree. Even a small conflict can lead to war. Look at the situation in the United States. Before George Floyd's murder, more than one hundred black Americans were killed by police, but it was after his murder that the rallies began to escalate into riots. I'm sure if anyone wants it badly, this riot will quickly escalate into a civil war.
Don't forget that the ones protesting are a (very) loud minority. If a civil war were to happen, I think it would only affect some of the urban centers,but most of the country would remain intact.
Going off-topic now, geographically speaking for this one.
But in order for a civil war to happen (in the US) in the traditional sense, a total breakdown of lawlessness and violence must occur between at least two opposing groups (with its own army supporting it also), that's causing irreparable damage and downfall to the existing government institutions.
Mind you, there's a Federal government that's a level above the state and local government that the U.S. Constitution mandates that all States uphold a 'Republican form' of government.
And right now, although the issues about George Floyd may have been attributed mainly due to the deeply rooted problem of racism and prejudice by the general Police against people of color, it still remains to be seen if there's going to be a stand-off between two opposing groups (aside from the Police and the BLM movement including their supporters), that would be enough to destroy the U.S. government aside from resolving the issues directly instead.