why did cities allow BLM /Antifa , etc rioters and protestors to  go around damaging property without even having the police try to stop it?

When the police try to stop such crimes, it can lead to a worse situation, so caution and responsibility is needed in the police response.

But this is not how it always goes --- most of the time the police respond in a responsible manner --- except that right-wing propaganda exaggerates the situations that look bad in order to score right-wing points.

Oh, you poor, self deluded racist scumbucket:

can we get a link to the video you're referring to? 

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If there's a video, then those people have probably already been charged for their crimes. Hundreds of people (both violent and nonviolent) got arrested during the summer protests. 

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...also cities did not *let* people go around damaging property...did you not see when both rioters and protestors across the nation were met with rubber bullets and tear gas?

they are afraid to stop it

No cities did that.

Liberal mayors wanted to show their support for BLM even if that meant allowing looting, arson, etc to occur.  

They were under orders by their leftist mayors and governors. It was a plot to create as much chaos as possible under the Trump administration. Now that the Biden/Harris regime is in place they don't even make the news. Yes, they're still happening. 

i dont know, it seems kind of like it was set up for some bigger political purpose

They all happened in democrat controlled cities 

To stick it to the racists.