Chris D.
Yelp
A must see location while in Capri, and I use the singular "location", because despite it being referenced as two different locations, it really is only one. It's like why does the Egyptian Obelisk in St. Peter's Square in the Vatican have a separate entry alongside St. Peter's Square. You have to be in the Square to see the Obelisk, and the latter is really just a stone stick. It's not like one can review an Obelisk. The same goes with Casa Axel Munthe and Villa St. Michele. You enter one and exit from the other. Having separate entries just confuses people. There's a Wiki entry for Villa St. Michele but not Casa Axel Munthe. If you go to Capri's own official tourism page, they list them both on the same page and don't differentiate...because it's effectively the same location. What will confuse you even more is that Casa Axel Munthe is listed as being in Anacapri, while Villa St. Michele is listed under Capri. Confused? Is there a rivalry going on, a contest of ownership?
With that out of the way, it's still worth seeing. Ignoring the impressive architecture of the building itself, and the artifacts within it, you still have one of the best views of the whole island. From this vantage, you can look straight down upon the docks, so I'd best avoid the edge if you have issues with heights.
We were part of a tour, and were the only ones in the building at the time; my assumption was that we were blessed with our punctuality, so go early if you want to beat any crowds. And what's great about the location is that the chair lift to Solaro is basically next door, and if you walk away from the stairs, you roll into an amazing labyrinth of streets packed with reasonable prices. Although not terribly old, the Casa/Villa and the views fringing it are a must.