The fact that the electric coupling disconnects the rear driveshaft from the engine will avoid drivetrain stresses on dry pavement, but I don't understand how it will reduce overall friction and fuel consumption.
Let's go to the extreme. If all 4 wheels by some chance happend to be completely different sizes (even minimally), they would turn at differing speeds while driving. We also have to differentiate between driven (from the engine) vs spining (cause by tires contacting the pavement)
With two wheels engaged, the differential can some what accomodate for this. It has to, when you go around a corner the outer wheel spins faster than the inner wheel.
Now to the extreme case where they are differing sizes with the front being bigger than the backs. It would try to make the car pull itself against something that doesn't want to move. Since it is the front tires "moving faster" than the rear, something has to give so increased friction. On dry pavement, it will usually be drivetrain and tire wear, in mud, the mud just flys a little more.
On a car with all wheels the same size, plain driving has different wheel rotations, mainly in turns. In general, the outer rotates faster than the inners, the fronts faster than the backs (the backs take a smaller radius, unless of course you have 100% all wheel steering) After a few thousand miles the tires will wear differently thus becoming differing sizes. This is why if you replace a tire, you might want to do them all at the same time and why tire rotation is such a big deal on a AWD vehicle.
I have to say, while testing the Patriot, the AWD is much better than my wifes Chevy Equinox. When that thing engages on the pavement, it sounds like it is going to rattle apart. If I remember right this is due to the fact that the fronts are driven 1% faster to add stability in slick conditions.
To the drive train spinning when not in "use". This is one reason why the 4x2 gets better gas mileage. The other would be the increased weight of the 4x4 system. It is back to when you had to get out an lock the hubs on your old 4x4. Two reasons there, save gas and save wear. With the newer CV joins, better lubrication and tigher tolerances, wear is not as much of a factor, but it still takes evergy to spin this stuff.
As a note:
AWD (All Wheel Drive) is an automatic thing. It may be that power is give to all wheels all the time through a viscous coupling to account for the differing rotation speeds. Or it is an on demand thing that engages a clutch, tourque converter, magic, ... to engage the other wheels when slip is sensed.
4x4 In most case means "manual" engagement and all four wheels are turned at the same RPM