Well right off the top he got way too close to that tornado. Storm chasers are advised to remain a safe distance away to avoid being caught in the wind or hit by debris.
Next, he never stopped to examine the tornado's actions, he continue to barrel toward it like a mad man. It did not appear that he slowed up even for a moment and arrived at the tornado's location just seconds after it crossed the road.
Afterward, he traveled into the damaged area which storm chasers are never advised to do because it can hinder police and fire departments.
Not to mention it appeared he drove over a downed power line which could have electrocuted him had the power not been cut to that particular line.
Most storm chasers, particularly veteran or professional chasers who are associated with a university or weather team will try to get into a safe position to view the tornado without getting dangerously close and without interfering in any form with law enforcement.
I have to also point out that some have argued in the past that chasers should go into an area to check for survivors or the injured. That sounds like a good idea, but in reality it should be left up to police, firefighters, paramedics, and those who are familiar with the area in the immediate aftermath.
Volunteers from outside an affected region are typically needed once officials have taken control of the situation and have organized.