Two different amps to horizontal bi amp?

I have Hales Designer Reference One speakers. They have three sets of post for speaker wire. I presently have one amp (Wingate 2000)class a amp. I have added a Sunfire signiture subwoofer to extend the lower registers but do not like the overall blending of the two. Here is my question / statement. I have an opportunity to purchase a Threshold S500 class a/b amp. I would use this to drive the woofers and use the Wingate to run the tweeter and mids. I feel the Threshold would elevate the bass performance and allow me to eliminate the sub woofer. Would this work? What kind of potential problems would or could I have?

Thanks