Barker admitted: "The players are gutted they didn't win the game. A point is no more than we deserved. The lads are feeling devastated which I think is a positive.
"I couldn't see Carlisle scoring. We looked safe thoughout the game apart from one silly mistake.
"Billy is bright and sharp and we needed fresh legs and a fresh impetus. If you don't shoot you don't score and he's a goalscorer. It was a bit lucky perhaps, but we didn't have much luck elsewhere.
"Over the last month or so we have cost ourselves half a dozen points with defensive mistakes.
"On the penalty their lad went down quite easily, but why don't you if someone is pulling your shirt."
Carlisle manager Graham Kavanagh refused to lay any blame on Ben Amos for the goal which cost his side two valuable points as they sought to end a run which extended to just one win a nine games after this result.
Amos mishandled Clarke's shot and it cost the Cumbrians dearly.
He said: "I don't shift the blame on to Ben. If anything I think it's Leon's (McSweeney) fault for not getting rid of the ball quicker.
"It was frustrating, but I don't have too many complaints because we had a game plan and I thought it worked well up to that point. We started both halves on top and it was a hard working, industrious performance.
"We maybe lacked a bit of attacking quality at times, but that is to be expected with Lee Miller's suspension.
Noble had fired Carlisle ahead two minutes after half-time from the penalty spot following a foul by Joe Walsh on defender Max Ehmer at a corner, but Barker's triple substitution midway through the second half turned the game on its head.
Even so it was Crawley's first shot on target that eventually produced their leveller, although Carlisle were not much more potent in attack. At least the second half produced a few exciting moments, which was more than could be said of a dire first 45 minutes.
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- Billy Clarke