I finally, after installing at least 5 different 32 bit browsers (Firefox32, Firefox2-32, Iceweasel32 from the original post and Firefox 3 and Swiftfox), I finally managed to get Java working in one: Swiftfox. It still does not work in IceWeasel, and I have not tested the others yet.
I went to the following page:
http://java.com/en/download/help/testvm.xml
It crashed Java, which is what I expected. I went into the preferences, disabled Java, and reloaded the page. Then, I re-enabled Java and reloaded again. Everything worked after that.
I'm having a different issue now, though. Depending on the order that I start the processes, they seem to be joining up incorrectly. I had wanted to have the two browsers running at the same time. I set up separate profiles, but they're still connecting in certain circumstances.
EDIT: Nov 10 11:30
I'm an idiot and put the wrong link in.
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