No mining means no more confirmations of transactions, no transactions written to the blockchain, Bitcoin failed, Bitcoin's blockchain frozen to death. Bitcoin would likely loose its value because without transactions and their confirmation, no one could transact anymore.
What makes you think this is Bitcoin's future?
Each one has their own belief on the future of Bitcoin, and the possibility of Bitcoin being dead is still there. No one knows the future all we can do is speculate. If there is something much more practical than Bitcoin, then that cryptocurrency will cease its dominance from Bitcoin if Bitcoin failed to progress or adapt, and improved for the future needs of people.
In theory, the system of bitcoin is for eternity, since mining after all BTC is mined is still needed for the confirmation of the transaction. This is also the reason why there are transaction fees when we transfer our BTC. That is to compensate miners for ming blocks and making our transaction confirmed. Satoshi device this plan to keep miners on mining BTC but if in case the reward from these TX fees is not enough to compensate miners, we will see miners shifting their gears to other cryptocurrencies that are more profitable for them. Once this happens the generation that time might be seeing the fall of Bitcoin.