The OP has a 2 mile commute in the cold. If you pace your riding and wear the right amount of clothing, you wont even begin to sweat. Riding hard on a short commute is a waste, given the amount of time required to cool down.
Cotton T shirt inner layer will get cold when damp. Polyester wicking T shirts will dry out fairly quickly. Expensive ones are a little better than cheap ones. Merino wool (superfine grade) will feel warm and comfortable but the appropriate grades are quite expensive.
T-shirt style base layers are fine, you don't need tight fitting singlets or cycling-style jerseys with back pockets.

Avoid wearing a waterproof shell (unless it is raining), this will trap moisture and cause condensation to form. A simple windproof outer layer is good.
Wear sufficient midlayer insulation so that you are cool at the start of the ride.
Wear a bodywarmer/gillet style insulation over your shell and you can easily add/remove it.