Oh, it's no big deal one way or the other. One thing you could do, something that I did with an entertainment center once, is remove those inner vertical supports, rebuild the exterior vertical supports to put the top back up high, and brace the top with extra bracing so that it doesn't need the interior supports. You'll loose those side "speaker" areas, but you might just relocate them down low and put smaller speakers in there (like a pair of PC speakers, plus a sub in the cab base.
I guess I just like the looks of those showcase cabs, seems a shame to turn it into a tv pedestal.
Hmm, another possibility is to go ahead, make the pedestal, but then rebuild the sides to extend up above the tv, then cut another top from some MDF, and add a little bracing so it won't sag.
Then you can just set your big screen in there, and fashion a press in frame out of some 1x1 pine, paint black and stretch speaker cloth around it to essentially create a speaker cloth "bezel" for the monitor.
Just an idea....