This is just my opinion, so please don't pelt me with tomatoes...hehehe
With a clarifying shampoo, I would follow that with a moisturizing shampoo, then complete my usual routine.
With a clarifying conditioner, I would use my regular shampoo, use the clarifying conditioner, then follow that with a moisturizng conditioner.
Basically, I can count the number of times in my life I've done any type of clarifying. In place of a clarifying conditioner marketed as such, I have simply added some lemon juice to my regular moisturizing conditioner. That works extremely well, at least for me, with none of the worries about stripping.
Frankly, I think the clarifying conditioners are just another option and probably appeal most to people who have oily hair.
~Jade~