Doesn't send shivers up my spine. I know I'm responsible, that's why I keep a constant eye on the road and am prepared to take control at any time.
Though the more recent software is very good at stopping at red lights, I never trusted autopilot anywhere but the highway where Tesla themselves says it should be used. Now that I'm in the "Full Self Driving" beta I trust it on regular roads a bit more but I still 100% understand I need to be watching the road. It augments my driving not replaces it (in its current state).