Burton, who fought back to secure a draw at big-spending Notts County last Saturday, went behind after 24 minutes when Gareth Evans scored with an angled shot from the left, but in the 74th minute Paul Boertien collected a backheel from substitute Richard Walker and placed the ball out of Bradford goalkeeper Simon Eastwood's reach for a deserved equaliser.
McCall said: "I was disappointed not to win. You want to win your home games, especially when you take the lead before half-time, but overall it was a fair result.
"We scored our goal through effective rather than great football - a long ball from the keeper and a header from James Hanson to Gareth Evans.
"The quality of our football could be better, but you could not ask for more hard work, energy and desire on a hot day.
"Burton are a decent team, but we needed to score a second goal and we had the opportunities to go 2-0 up. If we had done that, that could have clinched the game, but Burton were always a threat so we take a point."