Town struggled to overcome a Shrimps side content to sit deep and hit them on the break.
“I think that’s the first time in a while a team has come and done that,” said Alexander. “We had it a lot at the start of the season.
“But that’s their prerogative, they’ve come for a result and got something.
“We didn’t deal with it and that’s the worrying thing for me.
“The players were a bit down but we’ll pick ourselves up because there’s still a lot to play for.”
The Town boss, whose side are now five points behind third-placed Chesterfield, was angry over the manner in which his side conceded.
“We’ve given them two goals,” he told The Gazette.
“The players have responded and got an equaliser but it’s a game we should have won.
“I thought it was a game which lulled us into a slow tempo. We got the early goal which was good for us.
“We hoped it would quicken things up and force Morecambe to come out of their shape.
“We then gave a really poor goal away from our own corner, not doing things we speak about.
“That allowed Morecambe to make it hard for us. After the break we played a bit quicker without getting the breakthrough.
“We then gave a really poor goal away, against the run of play.
“There as a little bit of sloppiness about us, a little bit of lethargy.
“You could see it in the players but they did fight to get back into it, to get something out of the game.
“That was great, we got the goal and we had a couple of other opportunities.
“But there were no real clear chances.”