It is sometimes argued that this verse teaches us to "cut a deal with an adversary, in spite of the truth, honor, or honesty." One might question why an individual cannot deal within truth and honor while still dealing with an adversary quickly, but perhaps the misunderstanding stems from assuming that "agree" means to "give in to their point of view."

It does not. The Greek word here means "reconcile" and expresses the teaching of reconciling with others found in both Jewish and Greco-Roman teaching (Keener, Matthew commentary, 185). Furthermore, the word "adversary" is a technical term for an opponent in a lawsuit.