I don't thing GTD'ers feel they need to do every action that comes their way, especially if they step back regularly to review their work, and consider their higher-level goals (20.000-50.000 feet)
If they are really important, start delegating some of the current stuff.
Exactly. I think that is part of the beauty of truly practicing GTD -- learning to say no or to delegate to the appropriate person.
I think trying to do "every action" is a non-GTD behavior that GTD helped me overcome.