Actually we did for Afghanistan and admitted quite freely that we wouldn't have been able to fulfil the missions there without them.
The only people who want a high-paid professional military are the high-paid professional military.
This was a concept foisted on Canada by a post WW2 officer corps that convinced government that only "forces in being" could stop the Soviet hordes and effectively went on to ensure that the reserve side of the force became ever less capable of going to war. We need a well, but not high, paid core of professionals around which a stand-by force can be employed. That, and only that, will allow the transfer of the funding of a mostly unnecessary administrative system to combat effective capabilities.
We need to focus less on keeping full-time corporals around for twenty years and more on recruiting and keeping 18 year olds for five years and then making it easy for them to transition to civilian lives and maybe another five years of part-time service while giving them the experience of a lifetime during those years.