So on Tuesday I found good group with whom in 4 hours we cleared everything up to Crota himself. Due to people being tired, we decided to call it and didn't kill Crota back then.
Today I decided to finish this up and tried to find a group on DestinyLFG. I tried couple of groups, and all of them were terrible, without going too much into details they ranged from "group" being one person who was just after checkpoint without stating so in his info on DLFG, to groups that had so much people quitting and joining that after 30 mins I was the only one left from the original group (or at least time I joined myself).
People would fake their level (being 29 while stating they are 31), experience - done raid 2 times on "other character" and then failing at understanding basics of this fight or just ability to perform certain tasks at all, one guy insisted he want to use the sword, but every time would fail the jump or timing really really bad. And after failing 1-2 times they would rage quit, and to be extra annoying, they would try to ruin someone else mood by calling them "shit" and generally being elitist pricks, while in fact being the cause of majority of issues.
So then I finally found a group of what seemed to be decent bunch of people. I think one person from group already killed Crota before, others including me - didn't. No one faked their experience, no one bitched and whined about wipes. With this randoms I had better experience than playing with some of my friends. Took us almost 4 hours to work out best strategy for our group and to repeat it to perfection. By the end of 3rd hour we already had close 5-10% wipes and our kill was so clean, that I think we were ahead of enrage by almost 2 minutes.
Here is a little video of our kill, dedicated to those awesome people.
http://youtu.be/wJj_K7kjWHw