This is a solved problem, although by a commercial solution. Symantec's Encryption Desktop (formerly PGP desktop) allows one to either decrypt/check signature and view what is on the clipboard or decrypt/check signature and view what is in the current window.
We don't need a Web browser plugin. This is like drilling a hole in a boat that has one hole already in it, expecting the water to drain out.
Instead, we need something with functionality similar to SED that is completely standalone from other applications and functions completely independent of the Web browser. This is tougher than it sounds. GPG4Win is a good effort, but it does not come anywhere close to the ease of use that SED has. Macs and Linux have decent utilities like GPGTools (which was pictured.) If PGP decryption is put into something, it should not be part of a Web browser, but should be in the MUA. Web browsers should have as little running as possible, just so they have as small an attack surface since they are the biggest frontline for computer compromise these days.
The beauty about the OpenPGP spec is that it is completely independent of any transport mechanism, be it Slashdot posts, E-mail, MMS, AIM, Facebook's PM, or a file saved to a ZIP drive. Tethering it to a protocol can easily render a quite secure system extremely insecure, if only for the fact that a specific program or browser extension would be needed for the decryption.
Ideally, fetching E-mail via the Web should be more of an item of last resort, where one is using another machine. A high quality MUA (Thunderbird, Mail.app, Outlook, even mutt) is a lot more secure than a Web browser.