Walsall striker Will Grigg converted a 29th-minute penalty after County goalkeeper Bartosz Bialkowski had fouled Jamie Paterson, but half-time substitute Yoann Arquin fired home a second-half equaliser for the visitors.
Kiwomya, pleased his side had responded after a disappointing first-half display, said: "At half-time I was disappointed even though it was a difficult pitch to play on. I didn't think we really penetrated.
"I emphasised that at half-time and in the second half we were so much better and there was a lot more urgency to our game, with people willing to run and go for the second ball."
Alan Judge spurned two golden scoring chances and Kiwomya said: "He's a top player, but he'll be disappointed that he hasn't hit the target because it changes he whole momentum of the game and I think we would have gone on to win quite easily."
Asked whether he hoped to become the full-time manager, Kiwomya replied: "I will just do the best I can.
"The players responded to me at half-time and if we had had 90 minutes of that I would have been happy. I thought in the second half we looked the team that wanted to win.
"The players were courageous and gave me everything in the second half."