After you finish your ratings and become a CFI for ATP do they still allow you to fly your personal plane and possibly take another CFI to fly with you to build more hours for the both of us durring the times were not instructing?
What you do on your time off is your business. As long as you are meeting your obligations to ATP and your students and not violating FARs, you can fly as much as you want in your own airplane.
Hi, expanding on this while training/working at ATP are you ever allowed to take friends or family flying in an ATP aircraft?
Never. ATP’s airplanes are strictly for training purposes.