There's no "hope" keeping a live coelacanth in a home aquarium... They are DEEP SEA fishes.
I would like to keep a bowfin (freshwater) fish. The lower fins somehow "reminds" of the coelacanth, but I must admit there are huge clear differences in appearance between these two. For example, the top part (fins). But I like seeing the wavy movement of the top fin of the bowfin. Nice. So I will "settle" for a simple bowfin instead of trying the impossible (for me) -- the coelacanth...
It would be nice to be able to see a live coelacanth swimming. I wonder if there is any documentary showing that.