I can't quite make out the connections on the amps, but you want L preamp to L speaker and R preamp output to R speaker, not mixed as you apper to have them. I would also get an active crossover instead of a simple Y if that is what you are indicating; there is virtually nothing to be gained from "passive" bi-amping. I would use one amp/speaker as you have shown for convenience; you can place the amps near the speakers and use very short cables from amps to speakers that way. The interconnects are low-level and can route further.
Preamp L out --> crossover --> "left" amplifier, highs to L amp input, lows to R amp input --> L amp out to L speaker highs (treble), R amp output to L speaker lows (bass)
Preamp R out --> crossover --> "right" amplifier, highs to L amp input, lows to R amp input --> L amp out to R speaker highs (treble), R amp output to R speaker lows (bass)
HTH - Don
"After silence, that which best expresses the inexpressible, is music" - Aldous Huxley