The one thing I just don't see Uni ever being able to match (with the exemption of Potter and maybe Jurassic Park) is how beloved Disney's stories and characters are. Call it pixie dust, magic, nostalgia or what have you. Disney punches you in the stomach with emotion and feelings that you can't replicate by simply building "the biggest and baddest". Uni is probably going to need a generation or two to develop the warm and fuzzies from kids who grew up to have their own families. That's one obvious area where Uni as of right now cannot compete.
I like the biggest and baddest. I regularly frequent "Roller Coaster" parks and I've been to Uni on both coasts in the last couple years. But in my opinion, there's nothing at those parks like a Big Thunder, Tiki Room, or Space Ship Earth. Uni obviously has the tech to replicate and surpass the attractions I just mentioned. But they'll never get you to feel like you do when you ride the Disney versions. Disney's still got it when it comes to new attractions as we can see from what they've done around the world in their parks as of late. I'm hoping all the new stuff were speculating about lives up to or gets very close to what we're expecting for WDW and even DL.
I pay money to go to Uni and other parks so don't get me wrong. They've made huge strides and they're going in the right direction. Especially when they begin building attractions without so many screens. I agree with most folks who have said that competition is good for both sides. It means more fun for everybody.