Well, for one, I'd check out your grounds, specifically the alternator to chassis connection, as well as making sure the positive connections are in good shape.
EDIT: just saw that it's new, so it's probably just got small wires to save money on copper. I think you'll find this is the case on most vehicles.
As far as rolling down the windows is concerned, if you car is getting older, your window track / motors / cables may be in serious need of lubrication. As they push the grease out of the way, and dirt gets in, the power draw of the motor increases drastically.
As for things getting brighter when you gas it, your alternator doesn't have anything close to it's rated output at idle. I'd say probably around 1/3 peak output at best.
So a 95A alternator probably puts out 30A tops at idle. you're running everything off that 30A, and as you ask for more, the voltage drops, and it pulls more from the battery.
I have experienced this in the worst possible way this winter. I had stopped to help someone who was stuck off the side of the road, and I left my 4 headlights on, my defroster on, and my fan at full tilt. figure 220w for headlights, 40 watts for marker / running lights, 200 watts for the fan, and who knows what for the defroster (at least 200w). that's 660 watts of accessory load (not including the energy required to run the ECU, injectors, spark and fuel pumps), and my 95A alternator outputs 1100w at speed, certainly NOT at its 650rpm idle.
My alternator is functioning properly, I was just taxing it beyond what it can keep up with, thereby pulling the voltage down until the system reached equilibrium, which also sucked all the reserve power out of the battery.
I pulled my battery down to the point where when I got back in and stalled it, I couldn't restart the car.
I have noticed that the voltage is significantly higher at about 800rpm or so under heavy load than it is at idle.
Have you ever noticed that plow packages often include dual 150A alternators? It's not so much the peak output of the system that matters, adding another alternator guarantees twice the output at idle.