Unfortunately, while you may have the voltage for a faster coffee maker, you may not have the wiring in your kitchen and I don't suppose you can find a UL-approved coffee-maker for that set-up, which has two live wires (though maybe they are made for restaurant and institutional kitchens?)
That's exactly right... this sort of split phase approach is common, at least in the US. Larger consumers can have 240V available to them and everything else is 120V. (Larger consumers can mean things like ovens, ranges, wall AC's, normal AC's, larger shop tools... the list goes on and on.)
Split-phase also has a couple interesting failure modes. A few years ago, we had a case where a 120V heater would cause fans in other parts of the house to speed up when it switched on. What was happening was that the neutral wasn't fully grounded, so when the heater switched on one phase, it pulled the neutral's voltage in a way that caused the other phase's voltage to go up. Once the electrician figured that one out, it was fixed with the quickness. (Not safe or good for electronics at all.)
Anyways, where the fun comes in, is if for some reason the neutral gets disconnected before the branch split. You now are effectively running the appliances on one branch in series with those on the other. Depending on the particular appliances involved, this means you could see up to 240 V on one leg of the circuit. This is, of course, very bad.
Our neighbor's (poorly-attached) service mast came down a few weeks ago, causing a short that burned out the shared wires that connect both them and us to the transformer. After the initial event (complete with loud pops, sparks, flames...), our power actually came back on; but I insisted on keeping our main breakers turned off until the power company made their repairs. Turned out to be a wise move, as we indeed had a floating neutral.
Once I stopped destroying expensive equipment, it did amazing things for my circular saw. (Probably not good for that, either, and fortunately we promptly moved out.)
I hope you got this checked out! There could be something wrong with the phase going to those breakers (if your box is of the kind that has phases split by side which I am unfamiliar with).
In the real world V is a constant outside your control (120 in the US, 220 elsewhere), and A is limited by local wiring conventions (which means realistically the amount of watts you can get is different - but this is not a factor of voltage). The only factor you can change is R, which turns out to be easy enough (in this application).
That isn't to say you are wrong, just that it doesn't matter.
A is in practice the same across regions.
V is the only factor that ends up mattering.