Great idea, but...
It will either be a friend of David Cameron who gets the job, based on their being invited to a party, because they were at Uni with him, and once was the figurehead for a project staffed by 100s of much cleverer people they were lucky enough to have hired.
It will be a consultancy team.
the new hotline to the Ministers from the heads of major companies will say, "We already have the relevant techies who can do the job, we only fail because you ask us to, to boost the numbers of women in IT, and people with arts degrees, technically clueless people who can build up qualifications like Prince and ITIL, and so on. We could easily do it, but it would involve sacking all the people who aren't doers. Do you know how many people we're going to have to lay off, if your department actually gets us to deliver on time and to budget?" and it will be closed.
The post, were it ever instituted, and should they find someone cynical enough with the integrity to do what is necessary, would be undermined from day one by leaders of business. It would be like forming a new state on the edge of the Med, in the middle of all the Muslim countries, and filling it with Jews. It would be surrounded on all sides by people who wanted it destroyed.