I don't see that happening. It's close to impossible to happen actually, especially if you look back at how we're working on ways to scale off-chain rather than on-chain.

In the long run, miners will also be scooping up the fees generated through Bitcoin's side chains that they merge mine, so if the activity on these side chains explodes due to all the garbage that runs on top of them, miners will automatically benefit from that. In other words, there is no real need to worry about miners or the security of the network.

And who knows, miners might want to provide liquidity to the Lightning Network as well to generate more fee income.