Who doesn't want a full frame camera? Of course I do. I've been looking around for the 5D2 also, lowest i've seen is about 1600-1700euro now, I know it's only a couple of hundreds difference, But it still won't even be close to my budget. Its too expensive for me who's having a hard time even choosing between a kit lens and a 50/1.4 And i've seen the 6d. It's build quality is no better(IMO) than the 60d, the only difference is that the former one is a FF.
6D is weather sealed. 60D isn't. IQ, ISO performance and DR is way above what you can get from 60D. Sorry but that's not a small thing. If you don't have that kind of money and if you don't need video, 5D classic will perform much better than 60D. It's a little bit cheaper also but you'll get better IQ. If you can find a 5D classic that's not used much + 50mm 1.4/1.8, it will produce a lot better pictures than 60D and any kit lens that you can think of.
That said, it's still up to you. I'm just here to share my outlook on photography. Whether you listen to my advice or not, it's your money. Happy shooting.