From the sounds of it, I too agree that your coworkers don't understand the term passive-aggressiveness.
But what I do find strange is why you feel you should be directive. Within most work places, people have designated job descriptions. If people aren't doing their job, management should be handling everything. In organising people and ensuring the job gets done, you're in essence hiding their incompetence and if you notice, no one's thanking you for it either.
Back off and do your job. Beyond that, let the chips fall where they may.