Craig Conway, Robert Earnshaw and Mark Hudson all sustained knocks in the opening 45 minutes, and when Rudy Gestede pulled up with a hamstring strain on 70 minutes but stayed on the pitch, the Bluebirds effectively played with ten men.
"I've had three down in the first half, which is quite bizarre.
"For the last 20 minutes we were playing with ten men, Rudy's hamstring went and he was lame. We felt we were in casualty ward 10."
The draw has left Mackay's side in the promotion places in the Championship table.