For the record, Lets call it the “Core chain” accepts all of BIP-110 blocks. So when BIP-110 mines a block it is on the “Core chain.” Which means (not that I have inside knowledge) that miners might choose the path of least resistance and move to BIP-110 because it is valid on the future Bitcoin Chain. Right?

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110 rejects blocks that core doesn't. Core will never try to build on a shorter chain tip. As soon as 110 rejects a single block 110 nodes and miners are on a shorter chain tip, core won't follow. They can never become 1 thing again.
Let's not be conservative about how far 110 will fall behind. 110 will literally reject close to every single block that Core currently finds valid. So much that the 110 chain block time will be hours. Transactions will take whole days to get deep enough in the chain to be considered safely confirmed.