The newly discovered zero-day flaw in Java 7 is so serious that the U.S. Department of Homeland Security has warned users to disable or uninstall it, and Apple has disabled the Java 7 plugin on Macs through its OS X anti-malware system, in order to protect users from a potentially serious security issue.
However, if you need the Jave 6 JRE and plug-in, MadMAC0 has posted at
Apple has also posted (Oct 22/12) the approved solution for restoring the Java 6 plug-in:
Java is generally not to be trusted. If you must use it for a specific task, close all browser windows and tabs except the one you're working in, then enable Java and reload the page. When the task is complete, disable Java. Don't leave it on all the time.
How much is running Java a risk with mountain Lion? Do I need to remove it?
I have a couple of remote work platforms that require it for me to log in
You don't need to do anything right now. Both Apple and Google have totally disabled it in their browsers until Oracle can come out with a patch and there is no telling when that might be.