This was one of my favorite spots in Zermatt, but then again I like learning about the history of where I am. I learned a lot about Edward Whymper and the first successful summit of the Matterhorn. I loved it so much that I am now reading his book Scrambles Amongst the Alps. He's an amazing writer and gives you an idea of what it was like to be a pioneer trying to conquer the mountains.
The museum is very informative but in a laid back way. You could spend 15 minutes here or 2 hours, just kind of depends on the mood you're in. I personally preferred it on a nice sunny day....not as many people crowding it up!