What you describe are more or less classical editing tasks (multi-cam, infinite audio tracks, realtime audio etc.), most of which AE cannot provide. therefore Premiere Pro seems like your tool. The only other viable option for Mac is naturally Final Cut Pro from Apple themselves. It really depends what you are looking for, what your budget is and what you need. Personally I'm always thinking of "suites" and then things like outputting to BluRay or specific web formats become relevant, which Apple at this point cannot offer. If you get my meaning: If you can't distribute it, the nicest video is of limited or no use. And of course with a suite you also get Photoshop and otehr programs that might be useful one way or the other. this is not to say that Apple's tools are bad, but their scope really doesn't extend much beyond doing cutting, adding a few effects and putting it on DVD. For most otehr things you'd still need other tools in addition. Well, whatever. At least for Adobe's stuff, there's always the chance torun the trials and make up your own mind....
Mylenium is, as usual, very correct. If you get After Effects alone you will be very unhappy. What you're asking for, Premiere Pro is all about.
AE shines in compositing, motion graphics, and color correction. Premiere does cutting.
Could you cut in AE? Technically, yes. Would you have real-time previews? Definitely no.
Premiere is the way you want to go. And, in the future, if you feel like going further into special effects or motion graphics, After Effects plays very nicely with your edited sequences in Premiere.