Remove that gawdawful caulk and ignore it please.

Good idea! Goo Gone caulk remover does not seem to work on cement. Any ideas on a better remover?

It looks like the porch slab is supported by the foundation, and the steps supported by the ground. So you will not prevent or fix any cracking there. That crack will eventually start spalling. A permanent fix would be sawcutting an angled kerf to clean up the jagged crack and separate the slab from the steps. I do not know of any immediate way to remove the caulk other than sanding/grinding.