The antonyms for the word "more reconcilable" could include "irreconcilable," "incompatible," "unyielding," "uncompromising," "stubborn," "opposed," "contradictory," "discordant," "disagreeable," "hostile," "antagonistic," or "conflicting." These words suggest that it may be difficult or even impossible to find a common ground or to reach an agreement between opposite sides. Instead of being able to reconcile their differences, they remain at odds with each other, unwilling or unable to compromise or find a solution that benefits both parties. Using these antonyms can help to emphasize the challenges or obstacles that exist in situations where conflict or disagreement is present.