I think we're talking at cross purposes; that's not what I meant at all.

我想我们是说到两下里去了，我根本不是那个意思。

《牛津词典》

KM: One of the difficulties that might occur here is you get different conclusions from different data, different parts of the organization, where you might run at cross purposes.

一个可能发生的难点是你从不同的数据 不同的组织部门得到不同的结论 你或许发现相反的东西.

youdao

The two friends find themselves at cross-purposes with the officials.

这两个朋友发现他们与这些官员无法互相理解。

《柯林斯英汉双解大词典》

In other words, he's, like, talking at cross purposes to the budget he actually submitted.

WHITEHOUSE: Press Briefing

While certainly complementary, the two understandings can also work at cross purposes.

FORBES: DOD Cyberspace Strategy is Too Narrow, Too Negative

Again, these two tendencies are not mutually exclusive, but policy responses to risks to and risks through can sometimes work at cross purposes.

FORBES: DOD Cyberspace Strategy is Too Narrow, Too Negative