Earlier quoted context omitted.
Maybe this is easier to understand when looking across the borders, to the extremists. Here in Germany I often hear the phrase: "Left extremists set fire to cars, right extremists set fire to people." Of course this is oversimplified, yet there is quite some truth in it.
A right wing extremist would technically be more like someone who destroys traffic lights and stop signs. The political left believes in the idea of government and authority, the right wants to be left alone.
Here, right extremists set fire on refugee accommodations and are rude to, thrash or even murder foreign-looking people as well as homeless people. Their enemies are the strangers and the weak people.
Left extremists set fire on cars and other perceived status symbols of richness, and try to fight with the police. Their enemy is the capitalism in general and the state in particular.
The left extremists also did kill people, but mostly in the 1970s (see RAF [1]), while the right extremists kill lots of people all the time (see NSU [2] for a recent example).
[1] https://en.wikipedia.org/wiki/Red_Army_Faction
[2] https://en.wikipedia.org/wiki/National_Socialist_Underground