My husband & I went to Universal 3 yrs ago, & there is plenty for young kids! There are the larger, adult rides, but many of the attractions include shows, rides for young kids, and non-roller coaster rides for groups (provided your daughter meets height requirements, between 34" & 40" for most rides). We saw quite a few younger kids (between 4 & 10) on almost all of the rides we went on (with the exemption of the big coasters & any with height restrictions that the youngest kids couldn't qualify)
Some of our favorites included:
@ Universal Studios: Despicable Me 3D, Simpsons, Shrek, Men In Black, & the show "Horror Makeup Show" (very interactive & not scary). There's also a Woody Woodpecker kids coaster, & play areas with Curious George & Fievel. (BTW, skip Twister, it was boring & a waste of time)
@ Islands of Adventure: Harry Potter!! (Flight of the Hippogriff 36" in case she can't go on the Forbidden Journey in the Hogsmeade castle 48") but the entire area is very tuned into kids & family. Spiderman, Ripsaw Falls (water), Popeye's bilge barge (water) & Xmen Storm Force (you control the ride), plus all of Seuss-land are great for families. Poseidon's Fury was a fantastic show!
Keep in mind, my husband & I don't have kids... yet we fully enjoyed all of these attractions! So I don't think you would feel stifled if you restricted most of your activities to the ones the kids can participate in. Plus there are larger coasters & more intense rides for the rest of the family. I think you won't find any shortage of things to do for everyone of all ages, truly. Have fun! T.