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@JakeToronto I know – go back and read the first line of the answer: "This answer is no longer correct: OS X Keychain support is being removed from Chrome 45." :)
The best fix would be to get whoever hosts the application to fix the SSL certificates! I assume you've added a certificate exception to Firefox aswell as Java? (it would have prompted you when you tried to access the site with the expired cert)
I found an old thread on the Parallels support forums which has instructions to do that, but it doesn't look easy. People have asked if it's still relevant today but there hasn't been an answer.
I agree that increasing RAM is more important than getting an SSD, but not with the "Increasing file access speed will not increase system performance" bit. Any application that does a lot of disk IO (the likes of Safari, XCode and iPhoto spring to mind immediately) will benefit massively.
