Can you attach your capx (a simplified version will do) for us to see and build upon..?
Other than that, I think that adding the "shootingAnimation" is NOT playing as a condition in your movement controls will make your character stop while shooting (you'll have to make the events that move your player in the event sheet, otherwise Construct won't know that the "is NOT playing" condition is meant to be paired with a key press that's related to movement).