If you could press a button that made the music of the Chipmunks go away forever, and no one would ever know about it, would you press it?
Note: Pressing this button would not harm Alvin, Simon, or Theodore personally - it would just mean that their singing would never be brought to the attention of humans.
This would also have the side effect of removing all Chipmunks imitators and hangers-on, such as the Nutty Squirrels:
For the record, the official Tape Mountain Secret Blog position on the Chipmunks Button is that we would press that button until our fingers hurt.