ok nobody has mentioned this yet so i thought I might...
before you disconnect/reconnect anything, check the thermostat. it would have an adjustor knob that turns the wafer. if nothing's coming on make sure the wafer isn't adjusted all the way 'off'. turn it until the contact clicks on/off. on is when it's NOT touching the contact, off is when it is...
it could be that it's adjusted so that it won't come on unless it got REALLY cold or something LOL.
also, I would agree, try hooking up the heating element around the fan. it's a much safer design than the bare wire style. if you have a multi-meter or watt meter, you can also check the element for continuity. either it's a closed circuit (working) or an open circuit (dead).
you can also buy replacement heating elements and thermostats for the hovabator incubators, which are basically the same as what you have. There are other types of resistive heating methods (besides light bulbs), such as the flex tape (my choice for space saving). also old stove/toaster oven heating elements would work too, but you'd have to place them so they don't contact the wood directly as they can get quite hot very rapidly.
I've even seen aquarium heaters used (submerged into a gallon jug of water) and then the water is kept hot and air circulated around it. you do have to make sure the jug stays full of water, and your humidity might be higher than otherwise. but the temps once stabilized, remailed quite constant as the water has a lot of thermal mass...
pretty much you can use anything that generates heat to keep the incubator warm, but some things are better than others, depending on how fast they heat/cool down.
if/when i ever finish building coops (yeah right) I plan to build my cabinet, and maybe play with a variety of heat methods to see what can be used fairly efficiently.