Go to the store and price out some solar power systems, the complete system with inverters and all, and get back to me.
If you can't be bothered to get your butt off the couch, Google and check some of your statements against even the most favorable of sources - the manufacturers themselves. Interstate battery's own web site will tell you batteries that work as designed will lose half their capacity in three years. Maybe in a few years something other than lead-acid will make sense for storing enough energy to power major appliances. The lithium batteries we have today? Ask anyone who has kept a laptop for three to five years what happens to lithium batteries.
Funny, you argue those things, pretend the manufacturers know nothing about their own products, then admit that indeed solar can't replace traditional energy sources. That's good you can at least admit that now.
You mentioned air conditioning, using solar to supplement when it's very sunny and you most need the power. That's certainly the scenario that is most favorable to solar. Look up how much power a decent AC system uses (about 4000 watts) , then how much a complete solar system providing that much power will cost (about $40,000). You don't need a whitepaper, plenty of online stores sell the stuff. The output of solar cells drops over time. Figuring the average useful life is 10-20 years @ 4 months per year of AC use, that's about 60 months of active use. 60 months for $40,000 is $750 / month cooling. I don't know about you, but I'm not spending $750 / month for AC. Maybe during the less sunny months it would still have some usable power, and maybe we can get away with a 3000 watt unit. So around $300 - $400 / month on the low end. That's still pretty steep, but might work if you have more money than brains. What's that? It only runs during the day time, when I'm at work? You want me to spend $400 / to cool my house only when no-one is there, then still pay the power company to cool it after 5:00!?!? You go right ahead and buy a solar system. I'll stick with clean burning natural gas providing my electricity.