space travel - What would be the resulting effect of two ships passing near each other while using a Alcubierre drive

So, I don't have any formal background in physics or space. but I read about the Alcubierre drive, and now I'm curious. If two ships passed one another, what sort of interference would be generated? How dangerous would it be? I'm thinking it would actually neutralize the effect of warp for either ship since their fronts would be generating opposite forces.

Also, am I correctly interpreting what a warp drive travel path would look like? If not, my question is pretty irrelevant. The arrows are supposed to indicate the ships travel path.