Jesus Christ, DTF:
1) "Prog" is nothing other than "progressive" without the last couple syllables. There's no reason to get upset when people say DT is a progressive band, because they are a progressive band. That's the name of the genre. Whether you think DT has pushed the boundaries of music is another matter. This conversation makes about as much sense as it would to talk about whether Zep was technically a "rock" band since the band members are carbon-based life forms rather than rocks.
2) No, DT are not jazz musicians. Go listen to some Weather Report and check back in if you think SFAM has jazz sections.
3) The tickle section kicks ass.
Okay, I think I'm up to speed. How about that new Dream Theater album?