I think the two are inseparable otherwise you will likely not have safe/good Bitcoin. It's more like fruits and the nutrients in them ... You can't say I like the fruits but not the nutrients. The fruits were built for the nutrients for our enjoyment and health. Those who dislike the nutrients will probably drain the fruits off nutrients and fill it synthetic stuff or things that fruits are not designed to contain
It can't be separated. Bitcoin and Blockchain or altcoins with Blockchain have an attachment and need each other. Blockchain becomes a ledger that will record every transaction made and the transaction is transparent and can be seen by anyone and cannot be deleted. Blockchain is like an Android system where applications run on that system. Bitcoin is arguably only one application of the blockchain system and there are many other applications ( Altcoins).