Hi,
This looks a lot like the plan that Suzanne Somers came up with, called Somersizing. You can read about it at
www.somersize.com or here on 3FC's, Aleka wrote a review of the plan. She's (Suzanne Somers) written several books about it, the best one in my opinion is Suzanne Somers Fast and Easy.
There are 2 phases of Somersizing. The first one called level one, is where you do food combining. You would eat what you listed, but you would eat all your proteins and fats together (with your lower carb veggies) and eat the beans without fat or protein and with lower carb veggies or fat free dairy products. You can eat fruit, but it has to be seperate from every other kind of food. On level 2, you would eat more like you've listed above. So, yes, this will work, but it may work a little slower than following a plan.
Now, the problem with making up your own plan is, you don't always have time to vary what your eating. For example, take the eggs. Your eating 6 eggs a day. I know, they are cheap protein, but they get boring after awhile. Besides, you will have some awful gas if you keep eating eggs like that, trust me, I know

When you follow someones plan, you don't have to worry if your getting enough vitamins or enough of a variety of things. Also, you won't get as bored as easily.
If you eat salads 2 times a day, you will lose weight. If you can do it. Salads also get really old, really fast. I ate so much salad at one point, I thought I'd just

if one more lettuce leaf entered my mouth.
So the answer is, yes you can lose weight doing that, but is it something you can stick to? If you find out that it's not, then why not look around for a plan other than Atkins that you think interests you and give it a try?
Good luck, Nikki