Charlie Lee, the creator of Litecoin and former Director of Engineering at Coinbase, has given his view on Reddit on what he thinks Coinbase will do in terms of adoption of the upcoming contentious Segwit2x hardfork. Charlie Lee has recently come out against the Segwit2x hardfork on Twitter, including going as far as making a bet with Roger Ver on which of the two Bitcoins will become/remain the 'real' Bitcoin.
In the Reddit post Charlie Lee describes how he believes that Coinbase will probably list both of the Bitcoin versions, because it is a contentious fork and they want to avoid the risk of lawsuits. He does believe, however, that the BTC ticker will remain with the non-Segwit2x Bitcoin because otherwise there would be a disruption of people who are already running the Bitcoin Core software trying to deposit/withdraw from Coinbase.
He ends with saying that this reflects the advice he has given Coinbase with regards to how to deal with the upcoming hardfork.
To me it seems the No2x crowd is gaining momentum, and I am inclined to lean that way as well. I think any hardfork off of Bitcoin is going to be an alt-coin unless it receives wide-scale support.