"Jihad" should not be used with Christianity.
Jihad is a very elevated word that is reserved for people who truly believe in God, His Message, and ALL his messengers. I don't really see this as a description for Christians, but that's my opinion.
The Arabic word "Jihad" is a great word meaning to "strive for" or "challenge" the system, and has unfortunately been linked to violence by the haters of Islam, such as yourself.
So, please don't use the phrase "Christian Jihad" because it's hypothetical and does not exist in the religiously pious world.