The Bairns took a 1-0 lead from Callumn Morrison’s penalty but were pegged back through a Leighton McIntosh header before Mitch Megginson put the visitors ahead.
Despite being on the back foot for most of the second half the hosts stuck and Conor Sammon’s 85th minute equaliser ensured they would get a point for their efforts.
"It's a great effort and we showed great character,” said Miller.
“We took a good lead, had a few good chances then lost a goal we felt was a bit against us but we showed great character to come back.
"We can only keep our spirits up and go out and play the rest of the games.
"It was much better (than last Saturday against Cove) but we know we're capable of that and it's just regaining the confidence and team spirit to go and do it.
"We just need to keep going and try to win as many games as possible, it's the top teams against the top teams and that's all we can do.
"It was a good game with good football at times and the draw is a bit frustrating when you need a win."
It was the first match in caretaker charge for sporting director Gary Holt, following the departure of Lee Miller and David McCracken on Wednesday.
Miller added the players know that performances have not been good enough but now they have to fully focus on the games to come.
He said: "It's always sad to see and it's down to how the performances went but we need to look forward and move on, there's three games left and that's what we need to focus on.
"I think everybody together knows we never did well enough, that's pretty standard."