“背道而驰”常见的英文表达是 “run in the opposite direction” 或 “go in opposite directions” ,也可以说 “be at variance with”(更侧重于理念、方向等方面的背离) 。
Their goals run in the opposite direction, so it's hard for them to cooperate.
他们的目标背道而驰,所以很难合作。
These two policies seem to be going in opposite directions.
这两项政策似乎背道而驰。
His ideas are at variance with the mainstream views in the field.
他的想法与该领域的主流观点背道而驰。