We should ban all new oil and gas fields
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theconversation.com
I agree with your post as a whole. Have to point out though, that a subsidization stop is also just an (albeit indirect) limitation to supply.
Both should happen. Fossile fuel should not be subsidized, tapping into new reservoirs should be forbidden, and we should definitely stop spending ludicrous amounts of taxpayer cash into pointless military expenditures, and start pumping that money into R&D.
It does, since reduced supply increases price which make renewables as well as storage more attractive
Don't throw out the baby with the bath water. A ban would be counter-productive and silly.