This may be an unpopular opinion in the IT industry, but sometimes the old addage, "If it ain't broke, don't fix it!" may apply. If IE was running fine prior to applying the SP, then perhaps uninstalling the update may be the thing to do. If you cannot uninstall it by conventional means, then select a restore point prior to installing the "fix" and roll-back your computer to that date.
While talk of "security holes" and bugs are rampant, in many cases, these issues may not always apply. I've noticed that many "security fixes" released by MS have been in some obscure area that does not necessarily apply unless you are running a server environment. Many cases, the average desktop does not need all the patches and fixes MS releases.IN summary, if IE 6 is running fine, then no, I would say you don't need the patch. I've not installed the patch myself and IE 6 runs flawlessly.
So, as I stated before, if you didn't encounter any issues prior to installing the patch, remove it by either uninstalling it or running Restore.
Good luck!