I would get the Corsair over the Atec for a few reasons. Even if your case can support the CP it doesn't mean you wont at sometime want to change your case to something that won't support it.
The main reason I would choose the Corsair is the choice of caps on the Antec. They may all be of good quality but I like the all Japanese 105° rated caps on the Corsair compared to the mixed bag on the Antec.
Here are a couple quotes from the Antec review.
"Main capacitors are these 85 degree rated Ltecs. I'd like to see these improved a bit, but they're not nearly as critical as the parts over on the secondary side."
"For capacitors, Delta reached into their grab bag and pulled out a handful of various capacitors. Ltec, Nichicon, Taicon, Aishi (bless you!), and Rubycon are all represented in here. The approach must work well for them, as we saw in the scope shots."
When I look at reviews of power supplies when I am in the market for a new one the 1st thing I look at is the caps. If the are all 105° rated Japanese it is one that I will consider since I believe if they went to the expense to do that they probably didn't cut any corners elsewhere either.
Also unless you are going for more than 2 high end graphics cards there is no reason to get higher than a good 750.
If you can fit the CP-1000 into your case, get it over the Corsair. It's essentially an Antec Signature-quality power supply in Antec's proprietary form factor.
As far as electrical performance that is about right but as far as build quality not so much. You can see my quotes on the cap quality of the CP 1000 and here is the quote from the SG's review.
"Looking at the PCB from another angle, we can see the two huge Rubycon primary caps taking up a good chunk of space. The rest of the unit's capacitors are Nippon Chemi-Con and Nichicon. No expense spared there."