Mike,

Thanks for this demo-link. What I think is good in this song :
The keyboardist, de piano-sound, the drums and accompany.

The 'Hammondsound'however is a little disappointing. Try to imagine how this music would sound with a hi-Q (or real) Leslie.
Many brands do not really succeed in producing Leslie sound. (Korg, Roland, Yamaha and Ketron.... none of them)
Leslie is a mix of doppler-effect, frequency-modulation and volume-modulation.

The best I heard is in the Native Instruments B4 Tonewheel Organ.

Roel