AS said before, international management is generally a whole different style to club. Sven(to some degree), McClown to no degree at the time and Capello having won everything pretty much all made IDENTICAL mistakes with every team they picked.
I'm not saying that will make Redknapp good, or bad, just you've got three England managers in a row with VASTLY different club level experience/success, and they all got the same things wrong.
In world cups, ex players who have never managed before have gotten teams further than supposedly world class club level managers........ there is a lesson to be learned there. It's not black and white, theres no reason you can't be good at both, but there also isn't any link between success at club level and if that will lead to success at international level.
The first thing the FA should have on their list is, experience with a successful world cup team, if that is managerial or as a player, both are clearly incredibly useful. A successful player with a good team that did well knows what makes a good team, knows from experience what is important in terms of how to motivate a team, how to pick a team, why you sometimes leave a top player out for the sake of the team, etc, etc.