See where it has been dropped and bent in the corner? That is pushing it open when closed. The display will need to be taken apart and that bent in corner straightened out to get it to stop coming apart.
It's not the clutch cover (bar) that's giving you the problem. Slowly close the screen and observe what hits first. It appears to be the corner and that pushes the display assembly apart. It you choose not to straighten the corner then you can simply replace the display assembly and your problem will be solved.
MacBook Pro 13" Unibody Early 2011 Display Replacement
Frankly I know of no way you straighten that corner out without marring it. So you may want to get a plastic hard cover to put on it to dress it cosmetically.