Many bitcoiners would actually prefer to have an access to a web3-like experience with non-custodial exchanges, stablecoins, decentralized governance, etc. They just don't trust any other blockchain than Bitcoin.
Although, there is also an ideological war going on so many bitcoiners won't use words like web3, DeFi, DAO, NFT, and would prefer not to touch even off-chain tools built by other ecosystems.
However, NFTs are already on the Bitcoin blockchain (ordinals), signing messages with a private key using web3-like browser extensions has been lately popularized among bitcoiners with the Nostr protocol, more and more privacy-conscious bitcoiners start using private messaging app Session, which is built on top of the proof-of-stake fork of Monero called Oxen (formerly known as LOKI), and DAOs are coming soon with projects like Nostrocket.
And we should keep in mind that not only Bitcoin people started exploring web3, but also some Ethereum folks have been moving towards Bitcoin due to censorship/centralization concerns since Ethereum transitioned to proof-of-stake in September last year.
The bottom line is that merging of communities is inevitable.