Well shutting down the Internet Mail provider is the last thing you should do, instead of the Internet Mail provider intercepting these before they are in your inbox they will end up in your inbox and become even more difficult to remove or move to the chest.
There is quite a large rash of a new sober virus wave doing the rounds, and for everone who gets infected there system will be pumping this out to their email addressbook. So this can and does escalate very quickly.
You could set the Internet Mail settings Advanced, Silent Mode, with General answer No. That should send them to the virus chest, this will however become quite large so you will need to periodically need to empty the Infected Files section of the chest.
