I don't buy this line of argument at all. Some people are just inclined to stay between a rock and a hard place. They like it there.
Why does your organization need IE6? I'm guessing because you've got old apps that were pushing the browser envelope by dipping their toes into MS or other vendor-locked APIs. Fix that, and move on. If you're a decision-maker, just do it. If not, you can't really complain about your fate as a modern, paycheck-collecting Sisyphus.
To be clear - I work for a software company that sells to enterprise (government) customers. So we can't fix their IE6 problem. We have one product that requires IE7 and have had some major push back with that in some places (for example, the entire Scottish NHS is IE6 and say they will remain so for a couple of years)
Why does your organization need IE6? I'm guessing because you've got old apps that were pushing the browser envelope by dipping their toes into MS or other vendor-locked APIs. Fix that, and move on. If you're a decision-maker, just do it. If not, you can't really complain about your fate as a modern, paycheck-collecting Sisyphus.