Southgate certainly has been the most successful England manager apart from. Alf Ramsey, but I'm not sure he be any good at club level, he has to win things at Man Utd, and while they may well end up looking good under GS I'm not sure they will have that assassin mentality when it comes to crucial games, I'm still hoping I'm wrong with this and we go on to win the Euros this summer.
Klopp will never go to Man Utd, he has said the only British club he will ever manage is Liverpool, if he is taking time out we may not see him for at least 1 year.
I definitely want an English manager of the national squad, I think GS has shown that a young manager with knowledge of the youth setup can really progress the national squad.