No need to uninstall it Rogue if your firewall and anti-virus is working okay. The main thing is to keep current with the latest Java patches. After all many patches are fixes for vulnerabilities and Java is no different.I got hit by a Trojan a few hours ago. It is attacking Java. If you even think you are having problems, uninstall Java ASAP!
This link will test your Java to see if youre current and if not prompt you to download the latest version. Of course if youve already uninstalled your version the one available on the page will be the latest. And yes, it will be scanned for viruses as its downloading.