On BIP 110, miners, and chain splits...
It's helpful to separate miners who want fiat, and miners who want bitcoin.
It's fundamental, and no one does this.
Miners who want bitcoin, are part of the choice of soft fork, their opinion and the node they choose matters. Effectively they are nodes (Nodes are people who want bitcoin, and actively choose to enforce their rules).
Miners (who want fiat) work for Bitcoiners. Their opinions don't matter.
Suppose all miners were fiat people and not supportive of BIp110, and suppose every node runner supported bip110...
The nodes that the miners in this case run, say core 30, are irrelevant because these people don't want to accumulate bitcoin, and so they don't contribute to the value of that version of bitcoin (whichever version they choose matters little because they aren't accumulating the coin, they're selling it after mining).
If they choose against nodes, they are mining a coin Bitcoiners don't want - it has no value ultimately, even if it has the highest hashpower. It's a hash-secured worthless coin.
The valuable version (valuable because all people who want bitcoin choose to accumulate it) will have less hashpower. But because it's valuable, miners will defect to mine it and earn fiat (and difficulty being low will make it lucrative for those in first).
Ultimately, one must understand that mining doesn't give bitcoin value, it only helps it function, it's PEOPLE WHO WANT IT that give it value, and if these people run nodes, they get a say in what it is.