I would try to glue and clamp first
or cut along the split with my TS75 and use the pieces for something
you could glue and clamp or domino a piece of contrasting wood in between the two pieces of cherry
I was at some art or architecture thing a long time ago and saw something I want to try at some point. The fabricator ran a stainless steel I beam between two pieces of wood for a desk. From what I remember the wood and I beam were roughly 6/4 or 8/4 thick. The I beam was offset from the center. The edges of the wood were routered so that the wood set into the I beam and the top and bottom were flush. Looked very cool.
Of course were to get such an I beam and what it would cost is probably one of the reasons I haven't gotten around to doing it.
Since you have more pieces would it be possible to use the other pieces for most of the desk surface and then use the split pieces facing each other. One on the flat, one vertical, at either the front or rear of the desk area as a backsplash or a front apron. The grain lines between the flat and vertical might be interesting.
Just some thoughts. Good luck.