do i need to disable JAVA from my MAC OS X 10.6.8

No, you don't "need" to, but to avoid malware based on Java exploits just disable it in your browser's preferences. For Safari open Safari preferences, click on the Security icon in the toolbar, uncheck the Java option.

If Apple hasn't done it for you automatically, you should do it manually > http://support.apple.com/kb/HT5241

It will only disable Java on Safari. If you want to disable Java everywhere on your Macintosh, see > http://osxdaily.com/2012/09/08/how-to-disable-java/

U.S. urges users to disable Java; Apple disables some remotely