When you say "name ideas", do you mean any name, for male or female or just a name for God in your story? In this post, I'm guessing the latter.
Good point; "Alpha One" sounds too canine, so I wouldn't recommend using it. Since snow leopards live solitarily in the wild, I don't think you could use the name for a leader of a group of leopards. You could try writing about what the leopards think of God, then make a name off of that. (For instance, if they think of Him as being the best hunter, they might call Him the "Almighty Hunter" or something. OK, that was cheesy.

)
Those are my suggestions so far... I do have a rather extensive list of both female and male names. I can PM it to you, if you would like.
In Christ alone,
~ Elsa/Alaethea