My questions are these:

If there are two minds, and they come in to this form of contact, which survives?

Would they be combined, leaving behind a new one which encompasses the qualities of both? Would they be combined at random?

Would they fight for dominance, leaving only the victor?

What would it feel like to have your consciousness do battle against another, become a new merged product, or for all intents and purposes dissolved?

And potentially, most importantly: What happens not to the consciousness of the other, but the memories? Will the new consciousness (formed via whichever method) have access to both?