Is Krishna consciousness different from Christianity?

The goal is the same—love of God—so in essence the answer is no. If the Christianity you're following teaches you how to love God, it's as good as Krishna consciousness. The only real difference is that Christianity doesn't teach who the Supreme Person is. Jesus speaks of God the Father, but Krishna consciousness has specific information about the identity of God the Father that isn't found in the Bible or in Christianity.

"One will find in the Bhagavad-gita all that is contained in other scriptures, but the reader will also find things which are not to be found elsewhere. That is the specific standard of the Gita. It is the perfect theistic science because it is directly spoken by the Supreme Personality of Godhead, Lord Sri Krishna."
Bhagavad-gita As It Is, 1.1, Purport