Uh no one is going to care if you quit.
But don't. Since they've been unfair, clown it up and get canned. Severance, unemployment, Obama stuff.
In the more generous states - CA, MA, NY - unemployment benefits are worth around 30k, and typically they offer some form of severance in exchange for a release. If they initiate separation you collect pretty much 100% of the time.
"Hey I read somewhere that the Santa Fe reservoir is down 2 full inches. We need that water!"
As an aside, tell no in your work environment about your plans to apply. People in an office setting can often be insecure, spiteful, petty little bitches, and you are best giving them absolutely nothing to be petty with.
If they were being honest, fair minded people more concerned with the quality of your work than feeling like they are superior to you (the latter being so!!!! important to so many "business professionals"), then this would be unfair. But they're being nasty and underhanded, so being a little straussian isn't unethical.