Layer, Layers, Layers. You should be able to layer up to the point where you're too hot. Throw some fleece pants or at least thickish pj's under your snow pants. Throw another hoodie or this hoodie type jacket under your coat. Rock balaclava. Bring some fucking hand warmers. If your hands get hot, put them on you phone or share with a friend.
If it's super busy and cold gondolar lines can get long. Take some breaks in the lodge to warm up if needed.
I grew up riding the daks and skied/ worked at the mountains in the region for years. The biggest thing that sucks is the wind, especially on certain sections of lifts, but just layer up good, try not to have any exposed skin. If it's cold and windy a little bit of vaseline can keep your nose from getting destroyed by the cold wind. If it's exposed. Sometimes tough to stay completely bundled though with goggles.
Def bring some handwarmers though. Worst case you don't use them. I usually have some with me but rarely use them unless my phone needs some warmth. But it's good to have.I've heard so many people bitch about cold fingers on the mountain. Handwarmers are cheap. I have mixed feelings about toewarmers because I don't like anything in my boot. That said my snowboard boots stay warm so it's not a problem.
Good luck. Iceface is a fun mountain.