Wow ! I have tested my new joys hattop switch while made a fine discovery. You can adjust your base viewing point in the virtual cockpit view by the default view adjust key combinations:
SHIFT+BACKSPACE = move eyepoint up
SHIFT+ENTER = move eyepoint down
CTRL+SHIFT+BACKSPACE = slide left in the seat
CTRL+SHIFT+ENTER = slide right in the seat
CTRL+BACKSPACE = lean ahead in the seat
CTRL+ENTER = lean back in the seat
The funny thing is you can place yourself outside of the cocpit too in the virtual cockpit view

Have fun!