Ski pants for winter

Hi guys, I’ve planned a Christmas holidays trip to southern Iceland. I’m thinking about what to wear and I have a good layering for the tops, but I lack bottoms.

I was wondering, looking at the mean temperatures (-2C), if my ski pants are too much.

I have this north face pants:

https://www.thenorthface.com/en-us/mens/mens-bottoms/mens-snow-pants-c213197/mens-dawnstrike-gore-tex-pants-pNF0A82VQ?color=4H0

I love them for skiing and can even avoid base layers but I’m really afraid they will be too hot and bulky for Iceland. Even tho I will visit glaciers and ice caves, and I can’t find any solid info online.

Was looking for someone that could help me figure out what to do!

Thanks