With the frequency that this comes up, I'm a little surprised that no one has tried to build a start-up around this. I'm sure there's enough latent demand for customer service for Google that you could probably charge a fee for it - not sure how much it would be but still something.
Also you've probably got a willing acquirer in Google, providing you can prove out the model.
Only thing is you would need to have plenty of connections into the inner workings of Google to actually be able to serve your customers.