The structure of Pluto has a lot to do with why it is no longer referred to as a planet. There are many objects, like Pluto, that also orbit the sun. These plutoids have very little in common with any of the other planets. Sure, it orbits the sun, sure it is large enough to maintain a bit of it's own gravity, but it has not cleared out it's orbit and it does not fit into the classifications of either a terrestrial or jovian planet.

The moons of Jupiter do in fact have more in common with planets than Pluto. Astronomers and Astrophysicists believe that most of the notable moons of Jupiter were formed in ways similar to that of the terrestrial planets. Likewise, the density of Jupiter's moons fall in line with the terrestrial planets. Therefore, the one real difference between the moons of Jupiter and the terrestrial planets is the focus of their orbit. Meanwhile, Pluto shares few characteristics with the Jovian and Terrestrial planets. It is not a fully formed planet and there are too many stellar bodies floating about in it's orbit for it to be considered a planet. Therefore, the moons of Jupiter (specifically Ganymede, Callisto, Io, and Europa) have more in common with planets (specifically the terrestrial planets) than Pluto.