I would not go to separates before I upgraded my cables, if I were you.
You don't need to save much to upgrade that Monster speaker cable. A set of Audioquest Type 4 would blow it away, I know from experience -- and it's biwire ready.
Your interconnects could go to the backup bin too. A very good one for a reasonable price is the Auricle Encore made by Joe Mazzaglia, you can find it here on the 'goN.
Those would let you hear a bit more of Mr. Bibb. I'm a fan too; long may he play.