The United boss said: "I defy anybody to say that wasn't a good, open game. It was two teams that were right at it. Killie are on a hot streak of form but I thought we took the game to them, especially in the first half.
"I thought it was against the run of play that we lost the first goal but we showed good character to get back level quickly. I think the crowd would have gone home entertained today."
However, Houston felt substitute Jon Daly should have netted a late winner to give his side all three points.
He said: "Jon had two great chances, one with his head and another when he maybe should have squared it to David Goodwillie but I'm sure David wouldn't have passed it to Jon either had he been in the same position - that's strikers for you!"
Houston was pleased with the response shown by his side following their disappointing 2-1 defeat at home to St Mirren midweek.
He added: "It was a different United side from the poor, lethargic side that we had out on Wednesday night. It was also great to see that we had five under-21 players out there for most of the game. The fact that we have been able to blood youngsters augurs well for the future of this club. We are missing a lot of key players but I thought the ones that came in were excellent."