Just a quick update here. HVLA stopped by and is an awesome guy.

His GX is really sweet, too.
As for my particular issue here, I pulled the secondary air pump. It was three bolts on the mount, one hose, and a simple electric plug. So I managed to remove the pump without any drama. Cleaned up the mess all around it, and am waiting on a new pump. Lexus in Reno wanted $714 just for the part, not including any labor. Found it online for $470 shipped, so went that route. Should be arriving at the end of the week so I'll update again once I (hopefully) get it replaced.
Someone with better wiring skills that I could have repaired the damage, I'm sure. But the rats chewed up the split off sheathed wire (two small white wires in a smaller "harness" that splits off from the larger one), and the other side of it too. Leaving a lot of what looked to be potential issues down the road so I just bit the bullet and ordered a new pump.
Sigh... But warms my heart that this forum has such wonderful members. Thank you again, HVLA, you're a good guy and I'm grateful to have gotten to meet you!
-Sfx