How English is the English team?

I'm happy for England. I really am. How many teams can boast of going to Australia and beating them on their home turf this decade?
Only South Africa managed to do that two years ago.
But then, when you look at it, out of the current playing XI in England, four are South Africans.
My brother came up with this theory and I think that it's a very valid point. Andrew Strauss, Kevin Pietersen, Matt Prior and Jonathan Trott, four key players in the English side are South Africans. They're not the type like Monty, who lived in England for all his life, and then got an England cap. These guys are players, who were rejected by South Africa for not being 'good enough', went to England, got citizenship and are now playing for their adopted nation.
If we go by that theory, we should take an entire lot of fast bowlers from Pakistan - given the chaotic scene in their cricketing world, give them passports and Indian citizenship and let them spearhead India's fast bowling attack. Hell it'll do wonders to us.

South African Andrew Strauss, who captains England
smiles as he looks at the reclaimed Ashes

I'm not taking anything away from England. The side has played cricket that makes me love the game even more. They have been aggressive, always at the opposition and just gone and if I were to use a word: fucked Australia in every department of the game.
My only question is how English a victory is it? Four South African players, a Zimbabwean coach, a South African great as your former bowling coach doesn't make it too English, does it? Hopefully, by the next Ashes, if someone reads this post and flames me, they would have a full-strength English side that is ready to actually beat Australia