Bi-Wiring Center as a left and right

Without prejuduce to the technical reasons to avoid already posted that this is a bad idea....

the CC track is a purposefully manufactured and very distinct and separate  sound track not to overlap with the LF or RF channel. 

You do not want the left and right information in the center. There are 3 speakers up front for a reason - to separate the sound into a more realistic sound.

Think about an explosion that only occurs in the left channel. If you wire the left channel to the tweeter and the right channel to the woofers,  you end up the explosion going to the tweeter and and nothing going to the woofers. So, you get just the high frequency part of the explosion in the center. And remember the center usually does not have as good base response as your main speakers. Plus, you would miss all the center speaker information.

Bi-wiring is there to bypass the crossover in the speaker, nothing more.

to elaborate a bit more, the center I was looking at has 2 woofers and a single tweeter. Without looking inside the speaker wiring, I was hoping it would be wired that 2 posts go to left woofer and tweeter, and other 2 posts go to right woofer and same tweeter

It would be very unusual for it to be wired that way. Biware speakers are usually wired so one set of terminals go to the tweeter and one set goes to the woofer(s).

Why are you trying to do this? Are you trying to not use left and right speakers? If so, you could probably do that by telling the receiver you have no left or right speaker, but you are going to get basically3 channels of signal coming out as mono coming fromthe center. Is that what you want? Its really hard to see what advantage you are trying to gain.