The way the officers handled it was way out of hand, they had her info and could have issued a warrant to later be served. Smashing windows on the van and shooting at it far outweigh the offense, officers have very strict guidelines to follow in order to use deadly force when their lives are in danger and this was definitely not one of those cases.
And you realize that 85% of felony arrests stem from routine traffic stops. This was what appeared to be a routine stop, which the operator of the vehicle refused to comply, that wanted to evade. That cop had no idea why she was evading, she could of committed a felony, yes even with kids in the car, that wouldn't be the first time so just letting her go is not necessarily the correct answer. Could the first responding officer handled it differently by utilizing better communications skills? Maybe, but you don't know what was exchanged in those conversations.
That said though, we don't know the entire story as already stated. It's going to be REALLY REALLY TOUGH though justifying the use of a firearm in this incident. That's the only issue at face value that I could not come up with a potential justifying scenario.