The two are VERY different. Lane keep assist with adaptive cruise will nudge you if you get to close to a line while you drive. With Pilot Assist you are not "driving", but rathe the car is. It steers on its own without input from you. For example, Lane Keep Assist is not really "working" with Pilot Assist, because the car is constantly keeping the car in the center of the lane at all times (after all, the car is driving, and it doesn't need a nudge to grab your attention like you do if you get too close to a line). Auto Pilot continues to steer the car if you take your hands off the wheel momentarily...it's driving on its own. Auto Pilot will actually follow other cars at slow speeds in a traffic jam, turning the steering wheel to go around a curve with no input from you. Auto Pilot also is aware of it's surroundings, meaning it changes speed and following distances if it senses other cars around it that could potentially "box you in", proactively keeping it's distance from a car since you can not change lanes to potentially avoid it should it slam on it's brakes.
Adaptive cruise is cruise that maintains a distance. You are driving, it's helping you maintain your speed or a safe distance behind a slower car. Auto Pilot is driving the car for you, you are just there to babysit the system and take over in situations that are too complex for the car to understand or when road markings are so poor the car can not determin where the lane is. They really are completely different things. I drive with Auto Pilot on 95% of the time, it's one of the best systems on the market and often times is considered to many things better than a Tesla can do. It takes some time to understand how it reacts, but after a little time it's about the most relaxing drive feature ever created.