When's the last time you sat with your mind with no stimulation?
No book, no radio, no TV, no run, no walk, no bike ride, no work, no conversation, no painting, no musis, no internet, no podcasts, no gym...
I think you get the point.
All of the thoughts continuously running through your mind and there is no way of stopping them all you want to do is "stay busy" to avoid them or you might try and meditate to stop them, but nothing works.
Yoga will that stop them cycle of thoughts?
Maybe for a moment but if you are trying to figure out what to do to stop the cycle of thoughts you are always going to fail. There is no stopping them they will always be there.
The fear, anger, happiness, sadness will always arise out of these cycles thoughts. Recognize that they are a part of who you are and you will be on the first step.