Hmm... I think that I now got what you said, but I'll prefer taking this step-by-step.

So the problem you're describing to me is that if the users do not agree with the miners and a fork occurred, one of the followings would happen first:

• People would remain to the fork they accept which isn't incentivizing miners.
• Miners would prefer mining the chain that benefits them the most. (in this case, the new one)

So, if the people migrated to the fork that wouldn't change Bitcoin and most of the miners to the one that benefits them the most, the security of the unchanged fork would decrease, but the money would remain. Thus, it'd be more profitable for the miners to mine what people follow and not what is benefiting them in the protocol level.

Am I correct so far?