You can automatically cut the stream into tracks by relaying the stream through Streamripper, i.e. by directing StreamRipper to the ShoutCast stream and directing VLC to the relaying port of StreamRipper (default http://localhost:8000).
The record button is not easily accessible by default, but you can make permanently visible. To do that, use one of these methods below:
Click on View ‣ Advanced Controls to display the advanced toolbar directly above Playback Controls.
This advanced toolbar contains the Record button. Once the Record button is visible, click it to start recording.
Select Tools ‣ Customize interface menu and drag the record button to to any location of your choice in Line 2. Once the Record button is visible, click it to sart recording.