I think the pertinent existing concept is merged mining. A special form thereof, blind merged mining, is part of the Drivechain proposal for sidechains.
Quoted, because you can say that again!
OP, the problem you sketch is part of why some of the better altcoins chose to start with their own POW algorithm, not (then yet) used by any other coin. For example, Zcash uses Equihash; so Bitcoin miners with SHA-256 ASICs can’t suddenly redirect their hashrate to attack and overwhelm Zcash. Given the breathtaking size of SHA-256 hashpower currently in existence, this is quite important. Any altcoin which uses a SHA-256-based POW is incredibly foolish, and not only for reasons of a potential “51% attack”; see what happened with miners gaming BCH’s DAA before their November hardfork. (Though in that case, the vulnerability was by design; in essence, it was a de facto premine for Jihan & Co. I focus here on the technical issues and possibilities.)
To subject line, on multiple levels: Yes, there can be only one Bitcoin!