Birmingham's determination enabled them to take a first-half lead through David Edgar only for Berra to score his first goal five minutes into the second half.
A fine solo goal from Clayton Donaldson appeared to have earned Birmingham their second home win in four days but Berra popped up at the death to rescue a point for Mick McCarthy's side.
Clark was not totally downcast as he acknowledged his side did enough to win the game
He said: "It was a frustrating finish. I am gutted for the players. We deserved another victory.
"It would have capped off a brilliant week at home - three wins on the bounce.
"We cannot be too downhearted as the players gave another terrific performance. Ipswich are a powerful team and they will do a lot of damage to teams over the course of the season.
"We have taken on two teams who were in the top eight last season and more than matched them and should have had six points from the two games.
"I am absolutely delighted with what I've seen but devastated for the players who didn't get what they deserved.
"But the future is very promising. I feel at ease. I know what I am getting for the first time since coming through the door.
"I have a group of players who believe in what I am doing to a man and the fans appreciate the type of football.
"We have to go to Brentford with the same application and attitude. If the players give me this we have a really good chance of victory."
Clark admitted that Birmingham should have seen out the game when they were leading 2-1.
He said: "We could have gone 3-1 up if we had been awarded a late penalty when Caddis was brought down."
Ipswich, in the main, were involved in a defensive battle and were indebted to Berra's two face-saving goals for their late point.
McCarthy paid credit to the Scottish international for his contribution as the Tractor Boys twice fought back to earn a draw.
He said: "We got out of jail. It was great. It was lovely wasn't it?
"We deserved to get out. I think we gave away two bad goals but our two goals were great.
"It was bad marking for their first and an awful pass for the second.
"I think Birmingham look a different side this season. They look very good."
McCarthy is hoping Berra, who opened his account for Ipswich in the corresponding game last season, will continue his goalscoring spree.
He said: "We teased him about the first goal and the second was a fine goal from a great cross by Anderson.
"Let's get more goals out of Christopher as he is good in the air and should score more often."