What is the best way to repair this large crack UPDATED

This is a wing Chung training dummy. Its 50 plus years old. The crack runs down the length of the dummy. It doesn't move, its still very solid, but we would like to seal the crack to avoid further damage.

Our thought wes to use wood shims to fill in the space with wood glue, then use straps or screw down hose fittings to squeeze the dummy together so the glue and shims hold. Then saw off the excess and stain to match color.

Is there a better method or is the above plan stupid? This dummy is special and has history, I just don't want to make it worse.

Update: Thanks for the suggestions. This wood is hard as a rock. I tried a small wood chisel just to see if a butterfly joint was doable and I could barely scratch the thing. I am guessing I couldn't squeeze it tighter around glue and shims either.

Someone mentioned just leave it if its that old....i m thinking I might just do that. I may just fill in the crack them closely watch it for signs of damage as it gets used.

I'm being very careful because this thing has history being used by Dan Inosanto.