Tanya -- I love PB and use the natural stuff in
very controlled and measured quantities (otherwise I'd go through a jar a day)

. But I think of it as a fat, not a protein, though it has a small amount of protein in it.
Per tablespoon, mine is:
8g fat
3.5g carbs
3.5g protein
100 calories
In order to equal the protein in 3 oz. of chicken breast (about 25g) you'd have to eat 7 tablespoonfuls of peanut butter, giving you 700 calories and 56g of fat (as compared to about 135 calories and 3g fat for the chicken breast).
Don't be afraid to eat PB if you can keep it under control because it's a good fat. But I definitely wouldn't recommend trying to eat enough to count it as a protein source.
I don't know anything about the one with protein added. There are reduced fat PBs but they generally add sugar to make up for the fat left out (as with most LF products). Can you post the nutrition label or a link to it?