Lee McCulloch’s second half brace was enough to secure three valuable points against Gardner Speirs’ men who worked hard and made it a tough afternoon for the Light Blues.
A world record breaking crowd for a fourth tier match, 49463, took in the action and the Rangers players rewarded their loyalty with a victory.
McCoist said: “We obviously wanted to get to the top of the league this afternoon and to have a chance to do that we knew we would have to win.
“The game itself was extremely hard fought but I thought we deserved three points.
“Their keeper had a couple of really good saves but if I was to be critical I would have to say that although our possession in the first half was good we still didn’t create enough chances for my liking.
“I still think we should be putting opposing defences under more pressure by putting balls into the box.
“But we had a few words at half time and I said to them that I didn’t think there was an awful lot wrong and we eventually got our goals.
"Dean showed great feet to get around the back and he created the first goal brilliantly for Lee, it was a good goal.
“There was then a bit of relief at the end when we scored our second because for 10 minutes in the second half I felt we lost our way.
“We let their midfield get back on top of us and without doubt we defended a bit to deep.
“But in the end we got the three points we were after and our aim now is to stay at the top of the division.”