I have no Knowledge of military circuits but I can see a lot of benefits to what you suggest.
Sometimes I think that much of what we practise in GA is so steeped in tradition and 'the way it should be done' that we complacently blunder on doing the same old stuff.
Overhead re-joins are a perfect example of 'tradition' which was based on the poor climb performance of much older aircraft. I believe that the crossing of the numbers to downwind is now an accident waiting to happen with the much higher climb performance of modern kit and microlight type aircraft.