First of all, it is a 4-way speaker, not a 2-way with a single tweeter using one of the amp rails. Two-way speakers usually don't benefit from bi-amping as much as 3 or 4-way speakers do. The one thing you will benefit from is better control of the sub/bass drivers as far as ringing. It really depends on how many components they have between the drivers and the amp in the passive crossover. The more parts there are between the driver and the amp, the less control you have of the driver damping if you have any at all with 2nd, 3rd, and 4th order XOs.
If you remove all the BS between the driver and the amps and add an active XO, you will be surprised at the advantage and the better control you actually have of the sub/bass drivers. You can increase the power to the drivers and also have a LOT better control of overshoot/ringing.
Do it right, and you will really enjoy the change that most people never do. Understand how a crossover and drivers work first, and there is a night and day difference in how a tight sub/bass system can really sound. It is one of the biggest and best learning experiences I have found out about, a tightly controlled, hard-hitting sub/bass system.
I use servo subs from 80Hz < and stereo bass columns from 80-280Hz that are directly coupled to BIG class D amps. They actually imagine a great center bass phantom, which adds a whole different sound stage to the recording if they recorded the bass tracks (not the sub tracks) in stereo.
Do it right, and you will enjoy the tinker fest you have been missing.
Enjoy, ay!
Regards