Hubby says he thinks the pedals that your husband is used to will be safer. Apparently if you use standard toe clips you actually have to tighten them with the strap and you need to reach down to release them... this could be difficult on a bike where you cannot stop pedaling. (He is taking the class too, but he thinks his in in May)
btw - if you ever just want the experience of riding on the velodrome you can do it on your own bike as long as there isn't anyone on a track bike out there (if someone comes with a track bike you have to leave, because the potential for accidents is just too great and true track bikes take priority). Just don't go on it if it is at all wet - the surface becomes extremely slick!