I like Stargazer712's answer (look into Greasemonkey), but there is another option.
Suck it up and use IE for just this site.
Hey, I hate IE6 and 7 as much as the next Web developer. I advise non-techies to stay away from it, and to use Firefox or Chrome. My answer isn't meant to be flip or funny.
Sometimes, if you need to get the job done, you choose the best tool for the job (even if you don't like using the tool) to get the work done in the most efficient manner possible. In this case, it sounds like using IE to access this particular Web site takes care of the problem without a single line of code or documentation written on your part.
The alternative is spending hours finding (and testing -- because you won't be the only user) an alternative...or worse, spending hours or days developing (and, again, testing) your own code to fix the problem that, at the end of the day, is really only caused by your strong dislike of the one software application that works.