Answer: irreconcilable

AnswerCrossword Clue
IRRECONCILABLEPoles apart
irreconcilableincapable of being reconciled / one that is irreconcilable
irreconcilable(of ideas, facts, or statements) Representing findings or points of view that are so different from each other that they cannot be made compatible
irreconcilable(of people) Implacably hostile to each other