What are the sexes of the animals that you have?

What line of Axanthic are you working with?

As far as the animals that you have:

I would say breed the Axanthic with your KillerBee, if they are 1.1.
That would give you Pastels and Spiders that are 100%het Axanthic, and maybe even BumbleBee 100%het Axanthics?
I really don't think you would produce KillerBee het Ax.'s from that pairing??

If your Axanthic is a male, and your Spider is a female, breed them also and produce Spider 100%het Axanthics.