Thanks for your help Sabya.
I ended up using a bat file and executing it from the Execute Process Task in SSIS. I was hoping that I wouldn't have to use a bat file to execute the java code but I couldn't get the Execute Process Task to run that way. Who knows if you can actually run it that way.
What I don't get is why you even bothered to post to my thread. If you were annoyed by my post, then why wouldn't you just ignore it and move on? So, it seems that all you succeeded in doing is wasting your time, my time, and the time of everyone reading this post.
Thanks again for your help, Sabya.