Since we have no idea how we'd build a faster than light ship and have no idea what it's energy requirements would be (even "LOTS!" is purely conjecture), figuring out what it might look like is purely an exercise in creativity, not an educated guess.
But I am willing to bet it will look more like the ships shown in Brent's links, utilitarian.
But like I said, it's pure conjecture. The ships might have to be a twenty foot wide sphere that gets sling-shotted across the galaxy with some kind of gate system, or it might have to have a five mile wide engine with a big shielded wedge on the front for a crew compartment. I doubt it will look like a typical sci-fi ship, but even then I could be wrong. It's all 100% conjecture (besides the idea of form following function, at least in the early days of a technology).
And Paxil, you're really not much fun, I'm not sure how you're able to suspend your disbelief long enough to enjoy even a single episode of Star Trek.