Racing co-boss Mick Beadle said the game had left them with a lot to think about.
"We said beforehand that the result means nothing to us and it doesn't," he said. "Having said that, I suppose it was the fair result although they never created that many chances - we just sat back and let them play. But it's the first game and there is still a long way to go."
Leamington manager Jason Cadden said: "I thought it was a fair result, and it would have been even if we had got a further two on top of that.
"I was pleased with the performance and the work-rate throughout and it's always nice to get your first win."
Leamington once again showed they can raise their game for the big teams with a slick and confident performance, particularly in the second half, but will have to curb the cocky attitude that saw them slip up against apparently easy teams last term if they want to go up.
Racing started brightly with the smooth passing characteristic of the Beadle/ Wilson coaching partnership but were strangled by the number of substitutions as the game went on and hinted there was a lot more to come.

The match was the first outing for ex-Walsall, Villa and Northampton Town keeper Lee Keyte, and he coped well with the Brakes attack for the majority of the game before being beaten twice in the second half.
In the 56th minute, Josh Blake slotted home for a rare friendly goal after a neat Barry Shearsby flick had taken out the Racing defence to draw the sides level, Gary Faulconbridge having lofted a speculative cross-cum-shot in off the far post after 12 minutes.
Shearsby justified his call-up to the Midland Combination select side with a series of dangerous moves but it was the introduction of youth team star Neil Stacey that swayed the game in Brakes' favour.

Debutant Paul Holland found the 18-year-old with a precision pass up the line and Stacey held off two Racing challenges to fire a shot at the Racing goal. Keyte got down well to parry it across the goal, but Johnny Burgess was on hand to knock the rebound home.
A late surge from Racing's Moussa saw Harj Dhesi upend the Frenchman in the box for an 89th minute penalty. But fellow countryman Moussa Sylla could only fire the spot kick high into the Harbury Lane End stand much to the home fans delight.
*Racing play at Coleshill town tomorrow and Kenilworth Town on Tuesday.
Brakes: James Gettings, David Care (Paul Holland 74), Si Walker (Harj Dhesi 64), Nick McFarlane, Tom Sidwell, Andy Ellis (Barry Shearsby 46), Paul Frost (Jonny Burgess 54), Daz Timms, Josh Blake (Ryan Parisi 64), Vernor Sleem (Neil Stacey 64), Steve Thompson (c).
Racing: Lee Keyte, Dean Farrington, Derek Wilkes, Tom Stevenson, Steven Lees, Andrew McLinden, Gary Faulconbridge, Moussa, Kenny Howell, Moussa Sylla, Kevin Wagstaff.