Mercurial's model is different from Git that these things you list does not make sense there.
Rebase does not make sense in Mercurial because it has the concept of fixed branches. A commit is permanently linked to the branch on which it was made. So you are supposed to use merges.
Same with force-pushing.
I know. It's an opinion about how to develop that a lot of people hold - a declining proportion, mind you, like Mecurial's declining market share - and it's one that they're able to represent in Git's model, with Git's features. They're even able to do it without exposing me to it. But the same isn't true in reverse. Strictly superior?
Believe me, I tried to have an open mind about it. Then one day I was getting ready to go on a work trip with a half-finished feature on my work laptop, and realised there was simply no in-model way for backing that wip up to the repo. If I lost my laptop, I lost the progress. mercurial-scm fails at SCM.
I'd like to fill up some inaccuracies in your response:
- rebasing in Mercurial simply means chopping a subtree off of the history and re-attaching it to a different parent commit. In that sense, rebasing is a very useful and common history-rewriting operation. In fact, it's even simpler and more powerful/versatile than in git, because mercurial couldn't care less if the sub-tree you are rebasing belongs to a branch or not: it's just a DAG. It gets transplanted from A to B. A may or may not be your checked commit, or be the tip of a branch, doesn't matter.
- that mercurial requires a configuration toggle before rebasing can be used (i.e. that the user need to enable the extension explicitly) is a way to encourage interested users to learn their tool, and grow its capabilities together with their knowledge. It's opinionated, it may be too much hand-holding for some, but there is an elegant simplicity in keeping the help pages and autocomplete commands just as complex as the user can take it.