It's probably a good idea to read about futures to understand how they can affect the underlying commodity. If there is a price difference, people can make a profit by arbitrage. Who knows what the volume will be on CME or whether that volume will be enough to move the bitcoin price though.
https://www.investopedia.com/university/futures/
https://www.investopedia.com/terms/c/cash-and-carry-arbitrage.asp
https://www.investopedia.com/university/futures/
https://www.investopedia.com/terms/c/cash-and-carry-arbitrage.asp
Futures don't move the Bitcoin, Bitcoin moves the future.