Which is unthinkable, much like people speaking American English are necessarily fans of the military industrial complex.

It's not unthinkable. Many supporters of Jewish Voice for Peace are in this category, meaning they speak hebrew and are anti-zionist. Let's not forget that JVP is the largest jewish anti-zionist organization in the world.

In relation to your example though, there is no common ground between hebrew and american english because hebrew was the mother tongue of no one for almost 2000 years.