Like Edesilva, I also run ML speakers (I wish mine were also Prodigy's, but I am still very happy with the smaller Ascent's) with a passive bi-amplification setup. (Obviously, by default, if you bi-amp you are also bi-wiring.) I chose to use a vertical passive bi-amp, meaning that I use one amp, L & R channels, for the right speaker, and a second amp for the left speaker. My pre-amp has 2 sets of outputs, so I connect both "right" pre-outs to both inputs on the amp for the right speaker, and both "left" pre-outs to both inputs on the left speaker. I then use one channel of the right amp to drive the LF section of the ML's (using the internal XO), and the other channel to drive the panel. Likewise on the left side. Even though both amps are being fed a full range signal, and amplifying the full signal, the channel connected to the LF section "sees" the XO on the other end of the speaker cable, and the impedance is essentially infinite at frequencies above the cutoff frequency, so the current flowing through that cable is only at the lower frequencies. The same effect occurs with the channel driving the panels. The impedance for frequencies below the cutoff freq for the high pass section of the XO is essentially infinite, so the current flowing in the cables only carries the higher frequencies. This is the underlying theoretical benefit of bi-wiring, since it prevents the LF signals in your speaker cables from degrading the HF signals via magnetic interaction.
IMO, one of the biggest advantages of the vertical passive bi-amp is that each speaker gets its own amplifier, similar to using mono bloc's, so even though you are using both channels on each side, you only have the right channels music signal in the right channel amp, and vice versa. Therefor, no inter-channel crosstalk, the power supply for each channel is not stressed my large dynamic peaks on the other channel, etc... Further, I get significantly better sound with this setup than I did using the 2 amps bridged mono w/ bi-wire. This, like Edesilva mentioned, may have something to do with the electrical characteristics of bridging amplifier circuits and the difficult impedance characteristics of an ESL panel, all I know is it sounded very constrained when the volume started moving up. Dynamic constraint is DEFINITELY NOT a problem anymore.
One caveat for the vertical passive bi-amp, you MUST have identical amplifiers for both sides. If you want to use tubes for the highs and SS for the lows, or a more powerful amp for the lows, you have to go with a horizontal bi-amp (which I haven't tried yet, because I like the sound I am getting right now).
I you have 2 identical stereo amps, and 2 sets of speaker cable (these don't have to be identical), I would at least give a vertical passive bi-amp a listen. Again, I don't know which has a greater impact, the bi-amp effect or the bi-wire effect, but the end result sounds really good (to me!).
Mike