Hardly. Not if you have read anything about how custom spacetimes
might theoretically work, anyway. Warping space to such an extent that you can cross interstellar distances is going to cause massive gravitational lensing effects, a helluva lot more than some streaky rainbow stars zipping by like they're a couple hundred meters away from the ship. The ship's perception of the outside universe - and vice versa - is going to be limited at best. In fact, some descriptions of Alcubierre's warp and similar solutions indicate there isn't much difference between a warp "bubble" and a cloaking device.
The new warp effect is the closest thing we've seen to how such an FTL drive might actually look. Space surrounding the ship is a blur of scattered light, and sensory information appears to be limited to whatever subspace sensors make possible (another nice touch, subspace sensors are no longer just "really awesomely long range EM sensors," but seem distinctly limited. Not only is the effect more convincing, it makes space travel more dramatic, mysterious, and dangerous.