I'd never do it this way! What happens if the screw holding your double lug comes loose? You don't want to go there. Install a separate ground bar in the main panel. Bond it to the existing ground bar with a piece of #8. Move some of the existing grounding conductors from the original ground bar to the new one, freeing up space on the existing one. Install your neutral and your grounding conductors feeding the new sub-panel to the existing ground bar. Clear?