It really depends on whether your family would like the remaining rides in the park. I would say it is a half day park for most people, especially if not doing shows or the Jedi Training Academy. Two of the rides are thrill rides (Tower of Terror and Rock N Roller Coaster), so not sure if those would be on your list with really small kids. My kids are older and we did spend time there in February. We did:
Muppet Vision
Toy Story Midway Mania (the rest of Toy Story Land will be open when you go)
Star Tours (great ride even if you don't like Star Wars)
Tower of Terror (my nutty 10 year old's favorite ride)
Indiana Jones Stunt Show
Lunch at Sci-Fi Dine In
Not a TON to do there, but my son's favorite ride is there, so we went!