Round 8! Fight!
Ok, everyone take a deep breath. Relax.
Seriously, welcome to Aural Moon John Galt. Nice to meet you.
1. I might suggest, as Roger did, doing a search of the forums for "Dream Theater" and checking out the posts. I call this round 8 because by my count you are the eighth newcomer to make one of their first posts about the absence of DT. Each time it's the same response. So to get the management's position on DT, the easiest way is to read those old threads. It'll be the same answer here.
2. For the record, we've got a lot of teenagers here, and a lot of folks in their 20s here too, myself included. I'm 26, so if you do the math, I was born in 1979, and didn't really get aware of any music beyond my parents' tastes until my teens, as is most people's experience. That was the 1990's. One of my first Yes experiences was hearing "The Calling" on the radio. All that to say that (A) your experience is not unique, and (B) don't assume because we don't have Dream Theater we are a bunch of old fogeys. In fact, our library has over 15,500 individual tracks, and growing weekly, and much of that is new. Watch the "What's Playing Now" window and you'll see what I mean. In fact, I just checked it and the six things showing are 2003, 2004, 1980, 1999, 2003, and a liner.
3. Might I suggest in the future that you make friends and share your live of porg before calling out the station for being made up of "you musically stagnating, closed-minded, middle-aged adult (or should I say... schizoid man)" type people in your first post on the site. It's not the way to get people to welcome you, be friendly, etc. (as evidenced by RickandRoll's post - sorry rick!

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4. Welcome to the MOON! And even though the Program Director has chosen to shy away from most Dream Theater, don't let that run you off. Stick around - I've been to other prog-radio sites and we truly have the best community here. Listen for a few days, chat in the white room (upper right corner of main page) and shout in the black box. Make requests and start jabbering away!
5. Finally, since you seem to like virtuosity and metal, here are a few suggestions from the playlist to try out. You may already know of these and have them, so forgive me if I seem redundant. Some of them have members of Dream Theater in them.
Liquid Tension Experiment
Bozzio Levin Stevens
Tony Palacios
Explorers Club
Anekdoten
Yes - the album "Talk"
Djam Karet
Rush
Porcupine Tree
Opeth
The Tangent
Platypus
OSI
and not on AM, but nonetheless
The Devin Townshend Band
King's X
Stratovarius
Static-X
The Jelly Jam