I'm having a similar issue with Aurigma Photo Uploader on Safari. I'm using Mountain Lion (10.8) and Safari 6.0.3. However, it will work in Firefox.
What I also find annoying is that Adobe's instructions are either wrong or the way Java gets installed is not how they think it gets installed. This page: http://helpx.adobe.com/x-productkb/global/install-java-jre-mac-os.html says that I can go to Applications > Utilities > Java Preferences to confirm that Java is installed. I know it's installed. I just installed it. But I don't have that folder.