I would want some transition so it was clear to the player what view they were switching to. Even though it's the same two.
I would probably make an animation of the ship doing the rotation, from top to side.
Then when the player hit the switch button, make a show of everything pausing, and fading to black, except the ship. When it's alone on the screen, play the animation of the rotation. then fade back in and unpause the new orientation. (hopefully all happening in a half second.)
It would be a combination, the fade and pseudo 3d.