There definitely is a product here, and it's already being built. Docker is the underlying framework for which we'll see significant improvement for deploys in the near future.
In the meantime, and if you're on AWS, check out OpsWorks. It's the cat's pajamas. It both makes much of the hassle of deploying a thing of the past, is extremely flexible, and makes it possible to have Heroku-like "git push" deploys without giving up control (or being forced into Beanstalk's opinionated ways). Amazon made a very smart purchase when they bought Scalarium.
In the meantime, and if you're on AWS, check out OpsWorks. It's the cat's pajamas. It both makes much of the hassle of deploying a thing of the past, is extremely flexible, and makes it possible to have Heroku-like "git push" deploys without giving up control (or being forced into Beanstalk's opinionated ways). Amazon made a very smart purchase when they bought Scalarium.