When doing goblet squats, are you focusing on getting your hips, abs and lats involved? Or are you doing them just to push your right knee out? Those goblet squats eventually need to be pushed to something relatively heavy in order to continue building your hips. Eventually the weight needs to be heavy enough to force you to really fight the tendency to lose stability.
The first issue I see with the above technique is that it looks like your lower back is hyper extended. To fix it you have to work on breathing techniques and learn to brace your abs hard. Find as many articles as you can on this topic from reputable coaches and athletes to learn how you can improve on this. Chris Duffin and Chad Smith have many articles and videos on this.
Check out this thread for a similar issue:
http://tnation.T-Nation.com/free_online_forum/sports_body_training_performance_bodybuilding_beginner/squat_check_feels_asymmetric_with_video