There is no good connection between them. However, I've seen legislators often conflate the two in order to promote pro-DRM legislation in the name of protecting the children.
I was certainly aware of the connection between anti-CP and copyright, but I have never heard of a connection to DRM specifically. I thought the connections were limited to the shared interests of fighting CP and fighting copyright infringement, like monitoring peer to peer networks and requiring ISPs to keep records and comply with requests from law enforcement.