If Ethereum 2.0 comes out, will that be a new separate coin and will it bring down the value of Ethereum and Ethereum Classic that is currently in Coinbase or Gemini? 
Most of the top smart contract cryptos these days are just forks of Ethereum. I suppose it's possible that at EIP1559 miners fork Ethereum but most people will stick with ETH. ETC doesn't look like it's going anywhere. They were unable to solve their hashrate security problems.