Kimi would die, but not from Sasuke. Sasuke gets to frusterated and angry when fighting. Like when he faught Itachi, all he did was just run in a straght line with the Chidori and swing, no strategy, just run. Kimi vs Sasuke would be just like the fight when Gaaras used his ultiment defense. Kimi would send a bunch a spikes out, but still be able to do some damage.

Sasuke would jerk around for a little while, until eather Sasuke faints like he always does, or Kimi falls ill.