In politics DOP is the counter-part of GOP. This acronym stands for divisive old politics. Democratic Party's powerful, effective operation is carried out by dividing people as rich and poor, young and old or white and colored, and pretending to solve all problems of society while Republicans seem to say go make money and live your life.
Example: DOP can push through any bill through House or Senate since it has sizable majority in both houses, and there is not much GOP can do about it.