Sorry -- I think I got confused as to whick post I was answering =).
Are you definitely running the 2.1.3 installer? If so, you could try downloading and running the MRJ installer separately from Apple at:
ftp://ftp.apple.com/developer/Java/M....5_Install.bin
Once you have installed this, you can then run the smaller LimeWire installer (the one without the MRJ) from:
http://www9.limewire.com/download/LimeWireMacNoVM.bin
Let me know if this continues to give you errors.