"We should have had all three points," he said. "I thought we were the better side from start to finish. If we'd come in four up at half-time nobody could have complained. But I thought the goals they scored were poor ones for us to concede. We've got to defend better."
The dominant Silkmen took just a one-goal lead into the break, courtesy of Matty Tipton's spot-kick, but they were pegged back by Michael Twiss.
Ross Draper's first goal in the Football League edged Macc ahead on the hour mark but David Artell headed home a Laurence Wilson corner to rescue a point for the Shrimps.
"We thoroughly deserved the point," added Alexander who was philosophical about Ben Wright's late winner that was chalked off for a push by Hamza Bencherif.
MACC; Brain 6, Reid 7, Brisley 8, Morgan 7, Tremarco 7, Bencherif 6, Draper 6, Bolland 8, Daniel 7 (Bell 89 6), Tipton 8 (Sinclair 77 5), Wright 7.
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