Once The Merge is complete, there will be no differentiation between ETH 1 and ETH 2, which has since been renamed the execution and consensus layer, respectively. Instead, there will only be one Ethereum moving forward. It is a misconception that Ethereum 2.0 is a new coin or its own asset. It is not, and your existing ETH will function just as it has before. It will not be affected by The Merge.