did he really change philosophy or personnel? Some people would say he was a poor tactician that was forced into changes. Most people see what they wanna see with prejudice. People still wined that he wouldn't play Barnes for example. Personally, I coach a bit and try and be pragmatic, you can't always win, you can't always play flowing football and you rarely have the best squad.
This squad have come on leaps and bounds from pre-Southgate with the Iceland debacle, before that the failed Capello world cup )group draws with the mights US and Algeria!) and before that McClarens failed qualifying campaign. The old has been 30 somethings have been ditched, the direction is upwards, we play a much better technical game than we used to, and the players trust and believe in Southgate and his philosophy and vision. This competition may be too early, but I firmly believe if we stick with him we will win a competition in the next 5 years.
FAns have turned on Southgate because a) he's too middle class and too liberal for many working class fans, b) england fans have no patience and expect the unachievable, c) they hark back to his boro days, when he took over with no coaching experience, little back up, no money and was still learning his trade. That was 15 years ago, move on, he has.