There isn't any chainsplit created by the BIP-110. If rogue miners pushed invalid blocks then the blocks would be rejected (as usual).
Here's how it works: Your BIP110 node will start considering invalid Bitcoin transactions that are "spam". This means that if your node receives a block with "spam" included, you will reject that block. Therefore, if majority of hashrate mines with non-BIP110 rules, you're no longer on the chain with majority of hashrate!
That's not fully accurate. I agree that my node rejects an invalid block. I disagree that "if majority of hashrate mines with [invalid] non-BIP110 rules, you're no longer on the chain with majority of hashrate" is applicable in case of soft-forks (and the BIP-110 in particular). As a matter of fact, there is all hashrate on the permanent chain with BIP-110 whereas there may be non-rivalry, fugitive and ephemeral hashrate idling on a perishable block-height.
Or maybe I'm wasting my time talking to a "straight male" Pepe alt account who can't tell what a chain split is.
Do you think it is wrong to be a straight male? Isn't it natural?
A chain split is typical for hard-forks (unlike the soft-fork BIP-110). In absence of a hard-fork, there are usually observed so-called chain reorganizations ("re-org").
There isn't any chainsplit created by the BIP-110.
Only if the hashrate majority will be reached,
There isn't any such thing like majority and minority hashrate to create chainsplits in Bitcoin. In case of a chain split (as a result of a hard-fork), all hashrate operates on a chain and all hashrate operates on another chain.
(...) the chain will always split.
Would you give a real-life example in Bitcoin, please? Was there a split of a chain in case of the SegWit soft-fork in Bitcoin according to you?
Any non-signalling block is rejected by all BIP-110 clients (...). Which means, that the chain will split after block 961,632,
Incorrect. A "non-signalling blocks" could either be never produced or produced at any point in time, e.g. in block 961 666.
(...) a minority chain, supported only by miners, which will signal for BIP-110.
There isn't "a minority chain, supported only by miners, which will signal for BIP-110." The chain is neither minority or majority. The chain continues either with lower difficulty or higher (after re-adjustments) - retrospectively of amount of hashrate. BTW it is not specific to the RDTS/BIP-110 soft-fork. It applies for soft-forks in general.
(...) the rest 98% will keep mining blocks without any BIP-110 signalling, exactly as they do today.
Most of the blocks in Bitcoin were produced such that they conform with the BIP-110 (besides flipping the bit). Why wouldn't it continue?
Bitcoin Knots will reject the stronger chain, which will cause the split. It is simply programmed to split, because there is no "failing" condition in the code.
Incorrect. BIP-110 doesn't change the consensus rule about selection of the heaviest ("stronger") chain. There isn't any split caused by the BIP-110.
If rogue miners pushed invalid blocks then the blocks would be rejected (as usual).
Anyone can always make a client, which would tell "I don't like this transaction, so it is invalid". However, if new rules are enforced only by a minority, then it will result in an unsafe, minority chain
Incorrect. "Minority" is not minority on a chain. All participants enforce rules on a chain - some of them explicitly and fully (running fully validating node), some of them implicitly and softly. Also, an unsafe chain is one that can be rolled back (perish, evaporate). There isn't anything like that added by the BIP-110. To the contrary, the BIP-110 makes the chain more secure so that it doesn't perish.
If Knots decide to switch to less safe chain
There isn't anything about switching to another chain specified in the BIP-110.
The whitepaper works, only when the majority of miners are honest.
Agree. There will be the majority of miners honest, I believe.
If they are mining something you don't like, then it is your problem to find another miners, and secure your minority chain.
I agree that it is our problem when miners mine something we don't like. In particular, I dislike bulky garbage stuffed in OP_RETURN and elsewhere in transactions being mined by miners. As a solution to the problem, I find the BIP-110. Bitcoin is not a minority chain, neither pre- nor post-activation of the BIP-110.