#2
Well, that Bass has a nice, bright top-end, and a fat bottom, sounds a lot like active pickups to me, which is why i use them myself.
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Pirate Gear:

Charvel/Jackson 3B Bass
Series 10 5-String Bass
Vintage 70s Ampeg SVT/SVT 8x10 Cab
Ibanez GSA 60 Guitar
Roland Cube 15 Amp
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TASCAM 424 Portastudio
#3
yeah, active electronics would help. Try coming off of the highs and mids. That might help. The bassist plays really smooth. I think most of that tone is coming from his fingers and his skill.
#4
well for one, if its malmsteens bass player he has a high end rig, and yeh, high end rig great tone. the bass player himself has great technique and finger strength, and he plays very very cleanly. chances are he's using some active humbuckers to get that fat tone.

messing with you EQ alone probably wont do much.