It’s there, all in the same sentence. No cuts or anything.
Stephanopolous actually corrects him and says “Christian”.
Only then does Obama say “My Christian faith”.
It certainly sounds like the same sentence, but that is the point. The video DOES have a cut.
Also, the version linked above does not include Stephanopoulos's correction. Wish it did, b/c that makes the meaning clear even though they cut to the closeup camera in the middle of 0bama's sentence.