Let me chime in regarding the Lincoln. I've got a V-205, it's been a fantastic machine, that is of course when I actually use it, which isn't very often. The Lincoln can only use 110 or 220V whereas the Miller is 110-480V but if you're using it at home, 480V will never be an issue. I'm not sure how the Miller is configured but on the Lincoln you'll need to make a small extension cord from the 220V plug on the machine to a 110V plug, not really a big deal. Power at 110V is strong too, 120-140Amps with reduced duty cycle is possible. The Lincoln has a 40% duty cycle at max compared to 20% for the Miller at 220V.
The one thing I liked about the Miller when I was making a decision was the fact that you could adjust the AC frequency up to 250Hz, IIRC, where the Lincoln would only go to 150Hz. It helps to focus the arc when welding aluminum. I think the Miller also goes down to a lower amperage but not by much and isn't much of an issue unless you're welding razor blades together.
Honestly, you won't go wrong with either machine, I only bought the Lincoln because that's what my local welding store carried.