The striker grabbed his first treble in blue since November 2010 in the rout, and he was also impressed with how the team made the transition from playing in front of a packed Ibrox to rather different surroundings today.
Speaking after the game to RangersTV.tv, he said: “It was a fantastic result for us today. We have spoken all week about keeping the momentum going from the Hibs game as we couldn’t afford to get complacent after a fantastic result like that.
“So it was important we came here did the job and did it well with a good, convincing result, and we got everything we asked for. We played really well and scored a really high level of goal, so we are delighted all round.
“It really shouldn’t matter if we are playing in front of 50,000 fans as we did on Monday or 2000 as we did today – we still need to get to the same level.
“We said after last week it was important we didn’t let our level drop, and we followed that fantastic result with another today. We went on a great run of wins at the start of the season and it is important we hit that sort of form again.”
Rangers were rampant throughout the game, although it took them 40 minutes to eventually make the breakthrough thanks to Miller as he collided twice with Dumbarton goalkeeper Mark Brown before poking the ball over the line.
And that first goal’s significance wasn’t lost on Miller.
He added: “It was important, as the first goal in any game is, but when you come up against teams who set their stall out to make it tough for you, even more so. It took us 40 minutes but it gave us the platform to go and kick-on, and while it was a scrappy goal – very scrappy to be honest – it was important we got it.
Harry Forrester has, of course, now joined the Rangers squad from Doncaster Rovers, and Miller has been impressed by how easily he has settled into life at Auchenhowie.
Miller concluded: “We have a great dressing room, but already it’s like he’s been at the club for weeks. He knows a few of the lads from down south which always helps, but it is competition for places and it is always good and always healthy for the manager to have that.
“We welcome him to the club and hopefully we’ll see him on the field soon.”