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If it's the Army Cadets in the existing sense then I doubt the school will have much to do with it beyond providing the physical facilities: a gymnasium and a class-room.
The guys who ran my ATC were in their 40s/50s and very nice people. The ones you had to watch out for were the sixth-form sergeants who got off on pulling your 13 year old self's hair when it gone too long at the back.
Who can doubt the value of a 'club' that a child opts into, even with a little parental persuasion. There is a trade-off, the content has to be sufficiently enthralling to ensure repeat attendance.
The CCF will be run in the schools, by the schools.
I remember a previous Gove-ism designed to let surplus armed forces officers directly into 'ejucashun', without any specific teacher training. This could well be the pay-off.
Some borderline ptsd Iraq veteran living out out his fantasy of training a future generation of Jason Bournes.
Tomorrow does not belong to me!