When I plug in my 32GB iPod Touch 4G, it mounts a 1GB drive. Rhythmbox does not react, neither does Banshee.

Any ideas how to copy my music?

The output of df is:

Filesystem           1K-blocks      Used Available Use% Mounted on
/dev/sda1             28834716   4347480  23022512  16% /
udev                   1026788       288   1026500   1% /dev
none                   1026788      1496   1025292   1% /dev/shm
none                   1026788       204   1026584   1% /var/run
none                   1026788         0   1026788   0% /var/lock
none                   1026788         0   1026788   0% /lib/init/rw
/dev/sda6             96124904  62709456  28532496  69% /home