Yep! You need to start the benzoyl peroxide slowly. In the morning, wash your face, wait 5-10 minutes for it to dry, and then moisturize. At night, wash your face, let it dry, THEN apply BP, and moisturize once it dries. After the first week, you can use it in the morning and at night. Start with a pea-sized amount and increase it a little bit every week. 
I just started and for the first week I did a pea size amount 1 time a day. It says to do it at night but I did it in the middle of the day and it's working well so far. Now I'm in week 2 and I am using a pea size amount in the morning and again at night (10-12 hours apart) between applications. I didn't think to use the cleanser and moisturizer without the bp in the mornings the first week but that would work fine I bet as long as you still only do the benzoyl 1 time a day the first week :]