In theory, the two are not incompatible, though she may not realize that, and instead still believes in chivalry

Anarchist woman Complains That Men Do Nothing When 'Abusive Drug-Addled Bum' Terrorizes Train Car

Readers weren’t sympathetic, and the reply below is typical, but really, if the young lady were granted her wish and government abolished, then yes, citizens would take matters into their own hands and deal with these threats. Until that happens, however, our Twitteress will be on own, left to the mercies of “drug-addled bums” and the liberal politicians she (presumably) supported and placed in office.