People say that you can damage your liver and kidneys by eating too much meat, because they think that our organs are taxed by processing too much protein... and not enough carbs... putting us into ketosis. A lot of people (including doctors) confuse ketosis, which is the body burning off it's fat storage, and keto-acidosis, where the body burns off it's fat storage, and the by-product, ketones, are not being eliminated, and start to accumulate. When this happens, the kidneys and/or liver can be affected. As long as you keep yourself well hydrated, and keep flushing out those ketones, you won't be at any higher risk for damage.

A personal preference of mine is once in ketosis, don't go too far over to the purple on the ketone strips... I always like to be light/moderate.