I see no issue. Tuned Honda Fit weighs less than 900kg, has nearly 300 bhp and the guy in the video is running racing slicks and NOS, and likely aero + suspension upgrades. I saw a Honda Civic British Touring car completely smoke a much more power Mclaren MP4-12c road car at a track on youtube (autocar), this is basically the same effect. I've also seen a modified Smart Car completely smoke a Ferrari 458 in a drag race.
You can't compare an 880kg 300bhp + NOS boosted car on slicks to a stock supercar on road tyres. When you compare them fairly with fair tyres the FIT isn't all that special.