Part of the game is being able to identify what's worthwhile. I'd actually guess you've thrown away, sold, or salvaged items that would have been worth AHing. There are a lot of blue items worth selling even, but many people don't even look twice at them. Also you definitely do not need hundreds of millions of gold to clear inferno, just hundreds of thousands, maybe a couple million at most, if you know what to look for.
People just think they need so much gold because they do not know how to gear their character or use the AH effectively, so they just search for items with perfect stats and can't understand why it's so expensive.
You need, at best, mid range gear to beat and farm Inferno. No, midrange gear does not have 200 int and 200 vit and 75 resist all. It does not have 9% aspd and 30% crit damage and 10% crit and 500 life on hit. And no, mid range gear is not particularly expensive any more.
A couple weeks after release I started gearing up my barbarian for Inferno; I started looking for pieces of gear with 80 str, 80 vit, and 40 resist all, that was my starting point and some of the items I found doing that are the ones I'm still using to this day (long after clearing inferno and farming for quite a while, I know that's how I found my legs and my chestpiece at least). Perfectly acceptable stats for inferno, and back then those pieces ran me at least 300k+ each. There were only about 6-7 pages of them at any given time.
Now? There are 45+ pages of that same gear that's auction-only. There is so much of it available, you can't even see the buyouts available. When I searched for chestpieces only (a week or two ago), the lowest buyout was something like 100k. For a chest piece you could wear through almost all of Inferno, and I'd be willing to bet most other slots are even cheaper.
You say you can't sell anything because it's not worth anything. Turn that around and use it to your advantage.
And yes, random drops are random. For all the complaining about finding IL 50 stuff in Inferno, people seem to conveniently forget how you could find NM tier (and normal? I can't recall exactly) items all through Hell in D2. It's just how it works, either you castrate the drop rate or you broaden the spectrum of drops; you can't have good items dropping all the time, it just isn't sustainable.