I still had to manually right click at the end of the turn because if they were set to autopilot just a square away, they'd move the one square but lose all the other movement they could have done that turn.
Thankfully, I recently discovered the option in the option screen to turn off the "skip leftover autopilot moves" feature!
Now I am much happier.
Hey, can you right click on an enemy ship and have it mean "follow" instead of "go directly to this square"?