Heres just my take on using a dimmer switch.
First, the switch works by provideing resistance to the elctrical current. This excess current is then given off as heat. What this could mean is that over time your dimmer switch could actually burnout and possibly catch fire. Granted, the dimmer switch could last a very long time before this happens, but then again, it might burnout in the first week.
Second, a dimmer switch is made to regulate electrical current and not temperatures. what this will mean is that as the temps outside your incubator fluctulate, the dimmerswitch is not going to sense this change or provide for any corrections in the amount of electricity needed to maintain your desired temp. In other words, you most likely will have to continue to fiddel with it to keep your temps where you want them.
The only way a thermostat controls the electricity is by turning it on or off. It does this by using metal contacts that expand and contract according to the changes in the ambient temperature. Metal expands as it heats up, this expansion is usually used to break the contacts that carry the electrical current. As the metal cools off, it contracts which will close the contacts and send the electricity on down the line.
Even the more modern electronic thermostats will use the old expansion and contraction method for sensing temperatures. They might also be equiped with other electronic circuitry that can sense when the temp is approaching the desired setting and instead of just truning the elec. on or off, instead reduce the current to the heat source. This is to help insure that you do not get a overshoot or undershoot in your temperature control. Some thermostats also use a pulsewidth modulation that actually sends the electricty to the heat source as little pulses of power, these circuits are never really on or off, but will turn off if the correct temp setting is overshot, which doesnt happen very often with this type of thermostat. Since the power is supplied in small bursts a little at a time, these thermostats will hold very stable temperatures.