Hearts have been through the wringer in the last seven days, fearing for their future over an unpaid tax bill that saw Her Majesty's Revenue and Customs launch a winding-up order.
Things looked little better on the pitch for long spells but Marius Zaliukas made the most of his chance from the spot in injury-time to secure a share of the spoils for the Tynecastle men.
"I thought for our second half performance we deserved the point," said McGlynn.
"We kept Inverness at bay and dominated the second half, although I thought the goal was never going to come.
"Caley defended well, so we were grateful to get the penalty that Marius slotted away."