How could you possibly get all your requirements for skiing into a carry on bag? Ski jacket. Ski pants. Ski boots. Thick ski socks. Fleece/Turtleneck. Undergarmonts. Evening clothing. Day clothing. Sturdy shoes. Nicer shoes. Gloves. Goggles. Sunglasses. Hat. Neck warmer...
Seems like a lot to fit into the overhead bins... bin hog...
In my experience, skiing has always been quite a bulky affair when it came to traveling.