Still working out some of the details, but I think...
You are a:
Twist (ie, a plot twist)
I can keep you grounded, or I can rile you up.
You can be tied down, or twisted in knots
I can facilitate your travel, or I can discourage you from going.
As in to spin, or to change course
a cyborg, a professor, and a statue, schizophrenic mind, and a sled.
All are the main focus of famous movie twists: Blade Runner, ? , Planet of the Apes, Fight Club, Citizen Kane