Let's work backward here.
Making Callisto, Europa and Ganymede into habitable worlds via increasing Jupiter's heat radiation probably won't work for all of them at once, because they differ so much in distance from the planet (Ganymede would get roughly half the heat Europa does, and Callisto barely more than a tenth) -- but if you pick one you could probably do it; you might even be able to include both Europa and Ganymede (that's a difference similar to that of Earth and Mars). I wouldn't bother trying it with Io; the level of sulfur on and just below the surface makes it many times as much work to finish terraforming vs. the icy moons.
With that established, you don't really need Jupiter to become a star so much as you need to increase its infrared radiation. There's plenty of light from the Sun for agriculture or ecosystem (much brighter than a well lit interior where house plants can thrive), though you might need some selective breeding.
Larry Niven "solved" the problem of warming up Jupiter in World Out of Time by having the "Girls" drop a moon into the planet (they used Neptune as a gravity tug). The gravitational potential released as heat from the core after such a disturbance will take millennia or longer to leak out, and if you can calculate things right, you might cause some short-lived fusion reactions near the core, increasing the heat output above what you'd get solely from gravity.