Just turning the key on the special enclosure will only remove power from the drive. The IDE controller and the OS, if they're not prepared for it, will detect that as a drive failure and react in whatever way they want to. For some people, that ends up being a crash, though I've heard of people whose Windows systems just locks up, and if they stick the drive back onto the IDE chain it starts working again. But you never know, and if you try it, you're risking the slight possibility of serious damage to the components at worst. And if you do happen to make it work in some jerry-rigged way, who knows if a driver upgrade or some other update might make it stop working without notice, until you try to do it again.
If it's that important to you to have an internal, hot-swappable drive, do it right. If you're just using it for backups, get a good firewire or USB2.0 enclosure, and stick a hard drive into it. Backups don't run so fast that they need the absolute full speed of the ATA/100 or whatever controller, because the indexing and compression (if you use it) slows down the actual data-rate a lot, unless your "backup" is just a file-copy operation.