OK so...after doing some rereading of the rules on eidolons and searching through some of the forums I have come to the following conclusions:
1. I slightly regret ever stepping foot into the hot mess that is the Pathfinder Summoner class...
2. "The eidolon does not heal naturally."
"Natural Healing
With a full night's rest (8 hours of sleep or more), you recover 1 hit point per character level. Any significant interruption during your rest prevents you from healing that night.
If you undergo complete bed rest for an entire day and night, you recover twice your character level in hit points."
It says nothing about not being affected by healing spells, only that it doesn't heal 'naturally'.
3. "Eidolons are treated as summoned creatures, except that they are not sent back to their home plane until reduced to a number of negative hit points equal to or greater than their Constitution score."
4. Add #3 to this fact about Life Link: "Whenever the eidolon takes enough damage to send it back to its home plane, the summoner can, as a free action, sacrifice any number of hit points. Each hit point sacrificed in this way prevents 1 point of damage done to the eidolon. This can prevent the eidolon from being sent back to its home plane."
This means that the eidolon will be staggered at 0 HP, go unconscious when below 0 HP and I will not be able to use Life Link until it reaches its max negative...
5, Also, Matt, there is some confusion about what to do when an eidolon reaches 0 CON, which will send it back home ("dead"). But since they don't heal naturally...as soon as I were to resummon it, it would be sent back (still at 0 CON). That is something that you need to think about...
I'm sure that there are more, but the more I read the more I hope that Kaylesh steps on a fireball trap and dies...