The PlayStation 3 and Vita versions of this mission are related to a trophy named "Beat It", completing this mission will reward you with a bronze trophy.
Before you actually can race against Kleiver you'll have to make it through the tutorial for the buggies. The Tough Puppy is slow and has no mounted weapons, but in turn it has superb handling and is a good starter vehicle. After completing the short tutorial you can join Kleiver at the race track, together with three marauders. Kleiver will be driving the Sand Shark for this mission.
The opponents for this race aren't that tough, including Kleiver who drives a much faster vehicle. As long as you take all the turbos and don't lose control, you'll be able to easily outrun the other drivers. Make sure to keep at least one in reserve when you are about to cross the mud-filled track, using a turbo with a jump can shave a lot of time off here.