Dan has put skin soothing ingredients in the products that do have some anti-inflammatory properties. And for me, benzoyl peroxide definitely reduces inflammation.

There are several anti-inflammatory products out there. Look for the ones that have more natural ingredients. This will make it more soothing.

For the Acne Regimen, you can check the FAQ: http://www.acne.org/regimen-help.html#regimen  

Benzoyl Peroxide also reduces inflammation to some extent. It can be some pretty strong stuff; make sure you go over the different strength percentages before using it: http://patient.info/medicine/benzoyl-peroxide-for-acne-acnecide-brevoxyl-panoxyl  

There are also other products that are anti-inflammatory. But these are for less severe acne, and have more natural ingredients: http://www.umsfawards.com/reviews/acnezine-review/

Hope this helps