The phylogenetic tree of ducks and geese below shows muscovies are more closely related to ducks than geese (geese are in the lower rectangle, muscovies are higher up,
Cairina moschata, and the ducks we know are
Anas). They can also interbreed with ducks, producing the mulard, which is infertile.
However, I really like the saying: "Muscovies look like ducks, behave like geese, roost like chickens, and have breasts like turkeys"