The HD looks remarkably similar to a laptop drive but I am almost certain that it is not quite as easy as it looks to get a PC or Mac to recognize it when it is not controlled by the iPod's OS.
I'm sure it is not impossible though.

Replacement batteries for that iPod are very cheap and available on-line. You already have it open so it might be worth laying down a few $, or the currency of your choice, and replace it. At worst you will only be a little out of pocket and, at best, you have a working iPod again.

Just a thought

P