I am of the belief that there is a specific heat range where each type of fuel will release the most energy, I don't have the resources for expansive testing but I can tell you it is fact that if it is too cool or too hot is bad for performance, this is why fuel companies mix differing brews for summer and winter climates.
^^^this
OP what you are talking about has about the same power benefits as an electric supercharger, or fitting magnets to the fuel system.
if you do plan on doing this you will need to somehow hook a temp sensor to your fuel supply to let it know when the fuel is warm and when it is cold so it can adjust its tune accordingly. you may have this silly idea from watching the V8 supercars dump dry ice into the bin on top of their tank, they do that for fuel
conservation, not power. its all an attempt to get that tank of fuel lasting a few more laps than the next guy. the problem is the tune needs to be altered as the temp of fuel goes back to normal.
peltier heat plates are a MASSIVE waste of energy. also the weight of the ceramic plates would offset any pissy dyno HP you make so you would be wasting 1. watts 2. weight 3. lots of money.
it is true that colder fuel will have a greater reaction to air/spark, but we are just talking about room temperature as opposed to track temperature which can be up around the 50 deg mark. you can easily keep your tank at room temp by insulating it. no need for any external cooling sources.
but this thread has all the smells of "im trying it anyway, because no one else has" which i can assure you isnt true. people have been cooling fuel since the the 50's. i once heard a cool story about them leaving tanks of fuel in ice until just before the race then heating up the outside so the metal tank compresses and shoots the fuel out faster. which also didnt work.
but if you like spending cash on R&D which has been done for the last 60 years, then by all means go for it. i wish you luck.