He is about as close as you can get to a no-trade player/prospect. Though if the right trade comes along, I'd be willing to deal anyone. If the value is right there is no reason not to, even if the guy is the next A-Rod. And with A-Rod in mind, I'd say no he isn't that good or the "next A-Rod". A-Rod in his first year went through the whole minors, then forced the M's to call him up for good the following year where he killed AAA. That's hard for anyone to live up to, even a phenom like Delmon.
Over the last 10-15 or so years there have been I'd say about half a dozen great teenage hitting phenoms. The top group is for the Griffey's and A-Rod's (possibly Justin Upton if the rumors are true) who go through the minors in a blink of the eye. The next group is the "almost can't miss" group, though there have been some to under perform. That group would have: Miggy Cabrera, Delmon Young, Adrian Beltre, & Andruw Jones. All hitters that ripped up the minors as teenagers, but just a step below the other group.
One big difference I think Delmon has over the ones I listed with him is that he does have experience since he was a kid in baseball. Also, IMO he has the best work ethic of any other 2nd tier phenoms. That in my mind makes him an almost sure thing to live up to most of the "hype". He knows what it takes and wants to be the best. So in closing, yes he is special, but not in the A-Rod category.
P.S. There was a great article written on teenage hitting phenoms last year that talks about this, unfortunately I can't find it right now. If anyone remembers about it or knows where to find it, please let me know.