Leftists absolutely do. They're accelerationists who want to build their "utopia" on the rubble of this society's norms. Their attacks on the family structure, attacks on symbols of nationalism such as flags and statues, attacks on the legal system by inserting leftist DAs who hand-wave criminals and punish citizens who defend themselves, attacks on communities by massive influx of foreign criminals.
None of this is a new phenomenon. Anyone with familiarity with the rise of communism in eastern Europe sees the parallels in methods immediately.
Saw an interesting reference elsewhere regarding the friendliness the leftists have towards criminals. Gulag Archipelago volume 2, Solzhenitsyn mentions the favorable treatment thieves, murderers, and rapists in and out of the Gulag had over the political prisoners. Lighter sentences, perks in prison. They were tools of the state to instill fear and control over citizens.
Look how hard NYC went after Perry for defending a subway car of citizens over a feral piece of shit with a rap sheet as long as your leg. They made the criminal out to be the victim, for Christ's sake.
Those in the more moderate part of the political spectrum are bullied into agreeing with the extremists, because they're under the illusion that it's better to vote for the far left over the moderate right, not realizing they're public enemy #1 when leftists get in power to ensure there's no moderate alternative to their regimes. They may not think they're contributing to the destruction of their own society, but the road to Hell is paved with good intentions and the frozen corpses of communists.