be poles apart
• have nothing in common.
• "the two sisters had ceased to communicate with each other—their ideas were now poles apart"
Similar:
completely different,
as different as they could be,
widely separated,
directly opposed,
antithetical,
incompatible,
irreconcilable,
miles/worlds apart,
at opposite extremes/poles,
like night and day,
like chalk and cheese,
antipodal,