If you have to have your bum in the seat for 40+ hours/week to get paid, why would you bother? The "bullshit" gives you something to do when you're too tired to be actually productive.
If your inbox is full of bullshit, try taking proactive steps to clear it out. If it's a waste of corporate time, you have a basic professional responsibility to do so.
If you fail, it is likely because it wasn't as bullshit as you thought. The cogs may be sexy and obviously doing work, but the grease turns out to be vital too. But my "if" isn't for mere rhetoric... you may well succeed, because bullshit does build up too. The only way to find out is to try. I've had it go both ways.
"what" you ask? take a serious look at your inbox.