"ansibles"
Hey, I love thought experiments and speculation as much as the next guy, but that is a fictional device without even an idea as to how it would work.
I'm also not sure what a contraction factor of 2 means, I assume you mean Lorentz contraction, but I don't know what 'speed' that would be. It really doesn't matter though, for the thought experiment of 2 FTL ships passing; anything over c will do. And I assure you I would never try to dis' special relativity.
Two ships pass each other, let's say each is going twice the speed of light relative to a nearby, relatively stationary 3rd observer. They are going to pass each other at 4c, although neither would be aware of the other of course.
No message can viably be sent between the two, at least not using EM radiation, or anything else I can think of.
But I suppose, if ship 1 knew where ship 2 was going to be ahead of time, they could broadcast their message to that empty space, knowing ship 2 would run into it. That would be a damned difficult message to both receive and decode, but let's say it is broadcast in such a way that a simple message could be decoded.
But you still didn't receive my message until after I sent it, and even after I passed you. You would not have seen me pass you, although you may have seen disrupted incident radiation as my 'light wake'. And if we stopped to talk, then you would get my message long after you saw me.
If you stick to real world science, with the exception of a machine that carries itself and occupants within a local bubble of spacetime, then you won't come up with any causality issues.
And time travel is certainly allowed; we are travelling through time right now. It can even be sped up or slowed down, but travelling backwards through time would be the same as travelling backwards through space. I can't even wrap my head around that.