Arkan, that adapter will work fine for desktop IDE drives. I've used adapters like that one for a few years. For the laptop drive however, you will need to add this adapter in addition to the one that you have...
http://cgi.ebay.com/Laptop-PC-Hard-Drive-I...=item3a5b023e12
This will give you the ability to power the laptop drive that the other adapter does not allow. There are other simple adapters for SATA drives as well and all of them are cheap.
**Edit** I see that the adapter you picked does adapt to SATA as well. It might also power a laptop drive as well. Certainly won't be a waste of money to try it. The worst you will have to do is buy the adapter that I listed.
Yup. I got it, it hooks up to lappy drives, and it works like a charm!