A clogged fuel filter could certainly be the culprit. Could also be a blocked or kinked vent line from the tank. When it "cuts out", does it just lose power, completely die or does it sound kinda like a tractor? If it's that tractor sound, it might be loose connections to one of the coils (dropping you to two cylinders). Mine did this. Last question... is this kicking tied to hitting bumps? My ZX did this and it ended up being a loose battery connection. It would shake loose momentarily over high speed bumps and kick like a bronco.