Strachan told Setanta 1: "I'm very pleased for Kenny Miller. He set the standard on how we close down up front.
"He got about the place and we followed him in."
"Kenny forced himself into the team because of his training performances and his hunger."
Strachan insisted the entertaining game "deserved to have a 50,000 crowd watching it", and saluted his team's performance as "absolutely brilliant".
But he took issue with being told by the fourth official to tone down his celebrations, claiming he had only reacted with such emotion after being taunted during the game.
"You can't celebrate now," said Strachan. "In the PC world it's impossible to celebrate.
"Because people have been calling you names left right and centre for an hour, or more than that, they've decided that jumping up and celebrating is terrible and to call people all sorts of names is okay in front of kids."