Alex,
If you search the forums, you'll find an old thread where an older primus stove apparently could burn alcohol along with petrol fuel. I think there's a reason that you don't see the market flooded with stoves like this.
You've come to a UL backpacking website looking for advice and for the most part, that's what you'll receive here. You've previously PM'd me asking for what I'd carry on this trip. Instead of PMing my response, I'll give it here:
Ian Danger Bloom's Proposed Multi Month South America List on a Reasonable Budget:
Backpack: ULA Catalyst. For a trip where the conditions will be so variable, I'd err towards a larger backpack.
Sleeping Bag: USGI patrol bag with zipper removed ($30-$40) or other inexpensive 30* to 40* synthetic sleeping bag
High Altitude Sleeping bag for sub-freezing temps: I'm an adventurer on an adventure and can problem solve/think on my feet/etc. I'll figure it out when I get there.
Shelter: Tarptent Notch or Moment + 8'x8' or 8'x10' silnylon tarp. Normally I'd bring one or the other but for a trip of this duration, I'd bring both.
Pad: Full length Prolite pad. Supplement with CCF pad in colder/snowy regions.
Cooking System: 1.3L titanium pot paired with Caldera Cone. I normally don't bring an extra mug for drinks but I'd bring one on a trip of this duration.
Fuel: try to find denatured alcohol when possible but deal with the soot of rubbing alcohol or wood when I can't. Find myself in a situation where alcohol or wood won't work? Deal with it and go no-cook. Rent a white gas stove for the portions of my trip where I'll need to melt snow.
Water Treatment: Sawyer Mini to filter out the tougher protozoa followed up by treating the filtered water with Chlorine Dioxide.
Other stuff:
Poncho is a nice thing to have while waiting out a monsoon under a tree.
I normally carry a Swiss Army Classic but I'd bring a larger cheap knife like an Opinel for processing food where it'll get the job done but not so expensive that I'd cry if I lost it or had it confiscated crossing a border somewhere.
Most important: Imperfect execution is better than perfect planning. The world is an imperfect place and there is no amount of research you can do that will allow for you leave Mexico with a perfect backpacking kit. You've done the research. Be confident. Execute.