I don't think ssh provides the same level of confidence as https, unfortunately. There are no root CAs that are agreed upon, so the users are too used to blindly accepting whatever server keys they are given. This makes MITM attacks too easy.
The very last thing in the world you should do is adopt something like SSHFP, a clangorous hack that ties your SSH service to a root of trust operated by a state actor.
Root CAs are just a bit of a bummer; I hope to be a part of the transition away from them.