The CX600V2 has a few drawbacks over a "gaming" PSU, but otherwise are exceptional PSUs for the price. I've read reviews on JonnyGuru, Hardware Secrets, and I believe SilentPC that all liked the CX430. Now of course, there could be differences between the 430 and the 600, but I can't find a review of the 600. You have to decide for yourself if it is worth owning.
1) It is rated for 25C. I have seen reviews of the 430 version running as hot as 50C ambient temperature with no problems or drop in performance. I have a CX600V2 and have run it ambient 30C without it shutting off. I don't have the equipment to prove that it isn't losing max performance. I don't know why the rating is so low, but I will say that running over the rated temperature may lead to a shorter lifetime.
2) lack of cables. The CX600V2 doesn't have enough cables for SLI. I plan on using my CX600V2 in SLI and I'll have to get adapters. This won't affect you if you do get a 570.
3) The 12V amp limit is fairly low compared to a gaming series PSU. This is a bigger impact on SLI than the missing cables, however that isn't really an option for you with the dual 570's since they draw too much power.
I got mine for $12 after sales and rebates. It is running an i5-2500k and a 6870 and I plan on squeaking in a second 6870 a year from now. I would recommend it to anyone at that price. However, if you can get a gaming series Antec, Corsair, Seasonic, or OCZ PSU for the same price as the CX600, then I'd go for one of those instead.
EDIT: The CX600V2 is rated +12V@40A. The GTX570 takes ~19A by itself. That leaves plenty of room on the 12V and plenty of power in the entire PSU to power a CPU and most other reasonable peripherals (in other words, not running a 12 disk RAID or something crazy like that).