Is distancing oneself from two sisters who mistreat men and display inappropriate behavior considered a sin, and does the questioner bear responsibility for them before God?

These perceptions and behaviors can lead to disbelief (kufr), for Allah has differentiated between men and women in many rulings to suit the nature of each, and this is the essence of justice. What they are doing is an imitation of disbelievers, and its cause is poor upbringing. Do not sever ties with them; rather, continue to enjoin them to good and forbid them from evil. Be patient with their mistreatment, and supplicate for their guidance.