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Well it is not a problem with your java.
Many things cause this error but judging by your description of your problem this may be the cause: port forwarding/firewall/antivirus issues, since you can connect to localhost but not other servers.
Software caused connection abort: recv failed -> Network error
I think it's almost the equivalent of the WSAECONNABORTED (10053) error, there is a microsoft kb article about this: http://support.microsoft.com/kb/204594. No guarantees though.
You should add links to the Java 6 downloads, since it is possible for the user to not have Java 6 installed.
Java 6 for OS X 10.6 Snow Leopard: http://support.apple.com/kb/dl1573
Java 6 for OS X 10.7 Lion+: http://support.apple.com/kb/dl1572
What is the API you mentioned in your post for? If it can somehow authenticate users from the forum, I could probably write an extension for the wiki that does that.
Downgrade to Java 6 by following these instructions: http://support.apple.com/kb/HT5559
Java 6 for OS X 10.6 Snow Leopard: http://support.apple.com/kb/dl1573
Java 6 for OS X 10.7 Lion+: http://support.apple.com/kb/dl1572