No one forced you to fact check them and you still seem like you're a bit too frustrated to have a pleasant debate with. It seems if there's one thing we agree on, it's that social media encourages divisiveness. Consider taking some time away from commenting - this is my go-to strategy when I'm hot-headed.
I'm very pleasant to people who don't discuss things with disengenuous, statistically inaccurate, sensationalist intentions, meant to further an ideological narrative.
Again, no one forced you to talk to that person. If you don't have anything constructive _and_ pleasant to say, then please wait for your mood to simmer before commenting.