Hi Shari
In my book - NO, soy does not count as a dairy product! It's the sort of Anti-Dairy, but can be replaced as milk in certain things.
IF it is enriched with Vit. D (like milk) then you could count it as dairy if you are a total non-dairy consumer. BUT, if you eat or drink other dairy products (milk, yoghurt, cheese) then soy milk would be considered (to me) under the protein (meat, beans) category.
Just my two eurocents