I think that trueman has to be included over Bedser, and using Bradmans team comes with accepting that he had preferences with players who he played with, got him out or that reminded him of him self. He left out Hobbs for Morris and that in itself speaks volumes.
Separate note, once we get these teams selected who is for some simmed series, either all 8, or just the top 4 or 6. Since we are currently discussing England we can come to a consensus there first, then conclude the Aussie team and go on from there.
Hutton | Hobbs | Bradman | Richards | Tendulkar | Sobers | Gilchrist | Khan | Marshall | Warne | McGrath
Sutcliffe | Gavaskar | Headley | Chappell | Lara | Kallis | Miller | Knott | Ambrose | Lillee | Muralitharan
Greenidge | Morris | Ponting | Pollock | Hammond | Worrell | Ames | Hadlee | Holding | Trueman | O'Reilly
Richards | Simpson | Sangakkara | Weekes | Border | Walcott | Botham | Lindwall | Laker | Garner | Barnes