Looking at the temp historical graphs (available on wunderground.com for most locations) i found that at the observing location i have most used reflecting telescopes in a serious manner, the temperature, after sunset, rarely varies more than about 4degrees C all night and during the hours before midnight is usually stable to within a degree beginning shortly after sunset. Where i am at now the temp stabilizes after midnight to within a degree and before that falls about 3 degrees C over the space of several hours. Without controlled data to the contrary i have a hard time believing that a mirror cannot adequitely dissipate heat natively in that sort of timeframe.
If one stores their telescope indoors in an air-conditioned area, the optics will be stabilized at that temperature. If say, that is about 72degreesF, taking them out into the rather typical summertime after sunset temperature of about 70degrees would make the two hours of cooldown time commonly heard about right. This probably explains why i have less reason to consider this a serious issue than others in different locales might...
Some useful information would be to obtain the native heat dissipation *rates* of various mirrors made of various materials,sizes and dimentions and then testing the theoretical heat dissipation models of those masses with some actual telescopes containing them and equipped with temperature monitoring equipment. This information would allow one to make a more informed estimation as to whether there is actually an issue/and or how much of an issue really exists with the mirror mass tracking the typical nightime temp drops in one's particular observing location.
Anecdotal evidence is never sufficient for anything more than the most broad conclusions--there are far too many relevant vaiables between individual mirrors to make an effective generalization about how long it takes a mirror to dissipate x calories of heat.
The external (peltier) cooling idea is sure a neat one for areas with extreme drops in nightime temperature or to hasten cooldown generally--or for scopes stored outdoors which absorb the heat of the day. Tight thermostatic coupling and multiple chips would reduce the possibiltiy of thermo-optical distortion resultant from uneven cooling.
What's ironic is that telescope mirrors are made so that the very surface that is most sensitive to the effects of heat dispersion is also the surface optimized (with a bonded aluminum coating) to do so! This creates the situation that when a mirror cools it releases the majority of it's heat through it's aluminized surface--exactly where it is most noticable! What an utterly counter-productive situation! This effect could be mitigated to a great degree simply by affixing aluminum heat sinks to the *back* of the mirror, with CPU paste and epoxy around the edges to hold them in place & contain the paste, thus optimizing as much as possible (through passive means) a non-critical surface to share heat dissipation with the front of the mirror. I wouldn't be suprised if someone hasn't done this before as well. I also would not be suprised if this is enough to eliminate, in most cases, a lengthy cooldown as a practical consideration.
Telescope tube color-- is a factor only as concerns heat absorbtion from a radiant heat source. At night, in the absence of radiant heat (sun) color is irrelevant. What *is* a factor is that common paint, of any color, is an insulator. That's why the poster that mentioned a bare aluminum tube as capable of achieving thermal equalibrium sooner than one painted was correct. Same goes for tube material- between sonotube and fiberglass i don't know which is worse but both are far inferior to aluminum in this regard. The best tube is no tube at all.
Bare aluminum has a problem though and that is oxidation...and alum oxide happens to perform as a really good insulator. Once bare alum attains an oxide coating the heat it contains is then convected through an alum oxide/air interface and that isn't very efficient at all...better than paint, perhaps, but you've lost the advantages of an aluminum/air convective interface. If one really wanted to go hightech in tube performance, you can get an aluminum tube coated with a thermal dispersant coating. LOL! This is commonly used to enhance heat disipation in high perfomance motorcycle aluminum engines (another hobby of mine) by replacing the inevitable alum oxide layer, which almost immediately forms on bare aluminum, with a protective coating, electrostatically applied, which is composed of material less insulative than paint or aluminum oxide and prevents the latter from forming of course.
Then there is the thermal energy which the mounting itself accumulates, especially if left outdoors throughout the hot day. That has to go somewhere too...and since the mount is attached to the telescope OTA itself, that will be the preferred route of conduction except--- mitigating that may be another (unintentional?) minor function for those felt pads lining the rings than simply to prevent scratches to shiny tube paint after all.

No one has mentioned (i think) cool-UP time..going from a cooler to a warmer atmosphere--like from an airconditioned environment to a hot summer evening. Now you have a mirror mass absorbing heat to reach equalibrium instead of discharging it. What are the effects then? probably a lot less annoying. LOL! What a merry-go-round this cooldown issue is... maybe a solution would be just to get an old refridgerator set at about 60degrees to store your OTA's in? The resultant surface condensation would disperse in a short time (in a relatively dry climate anyway) and you'd have a nice cool mirror substrate--giving you a miniature cold front in front of your mirror instead of that nasty little warm front to look through! ah, just kidding...sort of.