35 F is what, 1-2 deg. C? This is what I wear for those temps, good for an hours brisk ride:
top: shortsleeved wicking underwear or wool, winter softshell jacket
bottom: bike shorts, PI Amfib winter tights
head: helmet cap, pref. windproof, Buff or neck gaiter
hands: lined XC skiing gloves
feet: medium-weight wool socks, winter cycling boots
For rides longer than an hour I'd wear longsleeved wool and try not to get it too sweaty, and add a windproof vest.
This may not help much if you own very different clothing, but the principle is pretty simple - cover almost all exposed skin with a thin layer of wool or something wicking (i.e. not cotton), add windproof, heavy footwear and gloves, and keep your head warm.
Winter riding is much less about badassery and much more about bundle-uppery. - malkin
1995 Kona Cinder Cone commuterFrankenbike/Selle Italia SLR Lady Gel Flow
2008 white Nakamura Summit Custom mtb/Terry Falcon X
2000 Schwinn Fastback Comp road bike/Specialized Jett