Back to the original post, those cooking temperatures seem awfully high - at least for beef which are the ones I looked at. They look like the standard FDA definitions of doneness. For example, 160 degrees is medium, when in reality anything over 155 would be considered well done if served in a restaurant.
More accurate would be
Rare 120-130
Med rare 130-135
Med 135-145
Med Well 145-155
Well 155+
In general, you would want to take a steak off the grill about 5 degrees below the target temperature and let it continue warming on a plate before serving.
Howard McGee has a good discussion of this in On Food and Cooking.