Ketosis is often confused with Ketoacidosis which (according to wikipedia) "is an extreme and uncontrolled form of ketosis, which is a normal response to prolonged fasting. In ketoacidosis, the body fails to adequately regulate ketone production causing such a severe accumulation of keto acids that the pH of the blood is substantially decreased. In extreme cases ketoacidosis can be fatal.
Mild ketosis isn't dangerous. Most low carb diets do not put a reasonably healthy person at risk for ketoacidosis. Some health issues, such as kidney disease, poorly controlled diabetes, and some medications can put a person at greater risk (which is why it really is a good idea to get a checkup before starting a very low-carb diet).
Some things you can do to virtually eliminate what small risk there is:
1. Get that checkup and talk to your doctor about your dieting plans.
2. Do NOT eliminate all carbs from your diet. Atkins induction level (20 to 40 carbs, I believe) may be too low for some folks. I do not believe that the nausea, lightheadness and weakness of induction is necessarily caused by "carb withdrawal." Personally, I believe low blood sugar is an at least as likely cause, and that feeling ill is a sign that raising carb levels is a good idea (or in Atkins terms, proceeding to OWL). How low is too low, is greatly debated, so use good judgement and trust your body. If you're not feeling well, consider increasing carb levels.
2.5 This is really a further elaboration of 2. Eat plenty of non-starchy vegetables as your main carbohydrate source.
3. Do not attempt to severely restrict carbs AND fat. An extremely low-fat and low-protein diet can be dangerous. It's sometimes referred to as "rabbit starvation" or protein poisoning.
http://en.wikipedia.org/wiki/Rabbit_starvation
4. Drink plenty of fluids (most liquids do count, even coffee). Even among wild carnivores such as wolves, ketoacidosis can occur if the animal can't access enough drinking water. If you're healthy, drinking water will in most cases prevent ketosis from becoming ketoacidosis. This doesn't mean you have to drink a gallon of water a day. If you're not eating much salt, are taking medications especially blood pressure medication or other diuretics, or are prone to low blood sodium levels, you should probably talk to your doctor about your fluid requirements, and how much liquids may be too much (for example, on the blood pressure medication I'm on, and the fact that I eat very little salt, my doctor has given me a 3 liter limit).
5. Listen to your body and pay attention to unusual symptoms. Diarrhea, vomitting, severe nausea, dizziness, lightheadedness.... are symptoms of something being wrong. I know some sources suggest that a certain degree of these symptoms are to be expected when starting a low carb diet. And maybe very mild symptoms aren't that big a deal, but if the symptoms are severe enough to be uncomfortable (and not just mildly annoying) make some adjustments in your diet until you feel decent - raising carb levels, drinking more water, taking to a doctor or dietitian....
6. Activity and exercise. If you're too weak or light headed to participate in regular activity and exercise, you may be restricting carbohydrates too far. You should be able to feel good AND exercise.