Hell no. I will concede that playing video games helps develop hand eye coordination, a variation of problem solving, and perhaps reflexes. So does playing baseball or football. Or tag, for that matter. That's all I'm willing to agree with.
Education was originally meant to teach a person to be free. It was supposed to show us how to react appropriately to extreme occurrences in life. As science progressed and history passed, there understandably became more to teach. We should be teaching these things. Video games teach what? Shooting like crazy solves problems. I have no issue with games as recreation, but cannot imagine that their value would ever exceed the harm they would do in a classroom setting.
The discrepancy in reading ability between boys and girls in the States is reason enough NOT to "teach" video games in a public school setting.