Before I want Baxter for England, I need to see him get some of his very talented players beyond being fringe internationals, preferably by playing them in their natural positions.
I also need to see a plan B.
Finally, I'd want to see him do well with a group of players he hasn't had tonnes of time with.
He's very good at maximising the abilities of good-but-not-great players, and getting them executing a simple game plan (very) effectively. But doesn't seem to know quite what to do with very good players, beyond executing a simple game plan very effectively.
He's still young in coaching terms, and it may well come. But I think he's too comfortable in his comfort zone, and isn't pushing himself beyond.
What he IS good at, takes a lot of time with the players - a luxury no England coach gets. Can he turn around a new? Can he get the best out of dozens of individuals he hasn't met before? Can he maximise the top talent?
He might, butnhe hasn't shown it.