I tried the idea of copying and burning of ps2 games. it was a complete nightmare and I reccomend you don't try it. I hate to be so negative about it but I say this because I have tried. With Alcohol 120, DVD dycrypter, and some other various programs that "claimed" they were able to do this but I found no success. I spent lots of my time researching this and in the end I found it to be too much time and money to make it worth it. Most likely 8 times out of 10 you will just be making coasters.
But you'll probably try anyway, and if so good luck. I hope you can do what I couldn't.
I've never tried loading them onto a harddrive though so that might be somthing to try. In any case I wish you luck with it.