Advice, NIDA etc

Hello everyone, I'm not really sure where to post this, so I appologise if this is in the wrong category. I'm just looking for some advice. I'm in year 12 and I'm starting to think of perspective University courses. I've always loved acting, and have always been very interested in becoming an actor, but because I am also passionate about classical singing, I haven't had much acting experience besides leads in school musicals etc. My parents also don't think I have any confidence, which is untrue, and have never be too supportive of the idea. However, seeing as though I've never had acting lessons or been given the opportunity to do any dramatic acting, which is what I'm interested in (particularly Shakespeare), or acted for a camera, I am just going to believe in myself and the strong connection I feel to acting. Ultimately, I would like to be in movies like Moulin Rouge, Chicago or Sweeny Todd where there is a combination of both acting and singing, but I would also happily do other genres of acting for film. I was going to simply do a Bachelor of Music and specialise in singing, but now I'm thinking that that if I never try acting out properly I'll regret it for the rest of my life. So apart from auditioning from the major Universities in Melbourne (Melbourne University for singing, VCA) I was also contemplating auditioning for NIDA and Julliard. Julliard offers singing and acting, however NIDA is purely acting as far as I'm aware. I'm not concerned with distance or cost. My question is basically, will NIDA accept someone like me with little acting experience? Also, what are the chances of getting into Julliard? What other universities would people recommend that are highly eisteemed? Thankyou, ~Ayane