Depends on the nature of the chirps.
Your copy is a "bad" copy, period. Because you tried to make the copy from a scratched disk. There is no magical hidden music behind the chirps, they are flat-out bad digital data, random non-musical bytes.
I see two possible scenarios:
1. The chirps are in place of the music. In other words, it's like:
"A m****n day war****, mean mean stri**, today's Tom Sawyer, mean m*** pride."
If that's the case, there's nothing you can do except buy the album again.
2. The chirps are in addition to the music. In other words, it's like:
"A mod****ern day warri*****or, mean mean stri****de, today's Tom Sawyer, me****an mean pride."
If that's the case, then you might, with a huge amount of manual labor, be able to rip the CD into WAV format, and carefully cut the chirps out by hand with CoolEdit Pro.
But that's so much work, it's easier just to buy the CD again. And I don't consider that scenario very likely at all.