ETH 2.0 has launched in parallel with ETH 1.X. The timeline is ~1 year for final merge, not years. This is potentially going to be accelerated (https://notes.ethereum.org/@vbuterin/B1mUf6DXO).
The "network" doesn't accept anything. ETH updates via hard forks. You either get on the train with the most support, or you don't. The majority wants proof-of-stake and there is already almost 4 million Ether staked on the ETH 2 chain (https://launchpad.ethereum.org/en/).
This is what I mean by the network accepting. Admittedly there's a spectrum of win/loss as per the ratio of the two resulting networks, but I'd suggest that the stake based network being substantially smaller would essentially be a failure, especially if the mining is still happening.