OK, some basic physics.
Neither the warp drive nor the hyperspace drive allow faster than light travel. They allow travel from point A to B at an apparent faster than light speed, but do so by either distorting or passing through the space time continuum.
Warp drive, as invented by Zefram Cochrane, relies on the creation of a displacement field (a warp bubble), allowing a space ship to travel through subspace at a speed which to travellers and observers alike seems to exceed the speed of light.
The speed of light is not really a speed limit at all- rather the point at which time stands absolutely still. (This of course makes travel at speeds near the speed of light awkward- as all the people you set out to see will be dead by the time you arrive, and all the people you left behind will be dead by the time you get back.) To travel faster than the speed of light would be to travel
backward in time. The developers of the warp drive of course recognised this and at first called their drive the "time warp" drive, until this was remembered to be the name of a 20th dance routine. Rather than travelling faster than the speed of light, travellers in a warp drive spaceship are in fact travelling backward in time from a point in the future when they will be at point B (the place of course where they want to be), whilst retaining their incremental spatial distance from point A.
On the other hand, the hyperspace drive, as invented by USRobots, allows a spaceship to "jump" through the normal space time continuum to another point in space time.
Superman of course is merely a comic book character and
not real.