You will need some more items if you want to ride in the 30's. And even in the 30's, things change depending on whether it is >35, or the low 30's.

Head -- some kind of head covering, one of the skully-type thin coverings you wear under your helmet. Descente makes a really good one with longer ear flaps. If your face gets really sensitive at freezing or below, a balaclava.

Hands -- gloves rated for below 40, plus liners. Lobster-mitt style are good for low 30's combining mitten warmth with some finger flexibility for controls.

Feet -- mid or heavy-weight wool socks. At the very least, a complete shoe cover made out of neoprene (again, Descente makes a good one). On a bigger budget, consider buying a winter shoe.

Legs -- full tights to wear over cycling shorts or bibs. For 30's, look for a fleeced tight. Consider wind-protection as well. Lose the cotton -- it will hold dampness & give you a bad chill.

Core -- first a base layer, long-sleeve preferred (Craft excels here). Then other layers such as Sugoi's mid-zero, or Smart-wool mid-weight, or your PI. Your wind/outer layer goes on over top. A wind-breaker might be a bit light, the soft shells that have more insulation would certainly be a better choice. TE has an excellent chart comparing different jackets for warmth, wind, very useful tool before you spend any hard-earned dollars.

You'll have to experiment some, but the reward of being able to ride outdoors when it's cold instead of being stuck inside is worth the effort!