Atkins is not no-carb. In fact, there's no such thing unless you just drink water.

The only disadvantage I can see to not doing induction is that you wouldn't go through what might be two weeks of hardship and get that initial big whoosh of weight loss. But some folks don't have that whoosh anyway.

You might try to gradually cut down. Cut out all sugar first, then cut out flour and grains, then cut out starchy fruits and vegetables. But keep eating lots of non-starchy veggies and berries. Switch over to low carb condiments and dairy products. Eat more meat, eggs and be sure to use those things you might have given up before, like cheese and butter. Give up eating processed foods with transfats in them and limit low-carb substitutes for sweets.

Seems like a reasonable way to ease into it.