Nope. Won't work.
Get a gyroscope and spin it. It stands upright. Spin it the other way. It stands upright. The gyroscopic effect stops it from falling over. It's not like you can get a negative gyroscopic effect ... spinning it backwards doesn't make it fall over faster.
I'll also join the doubters about putting all the braking forces through a gearbox before it gets to the front wheel. It'll be fun when you jump on the anchors to avoid some arsehole backing out of their drive without looking - and promptly snap a gear.
Dave
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