Meaning of "Against Undead"

[Gidoza]

I'm just curious how far certain combat qualifiers go. What I have in mind is the Cleric's ability of discarding 3 cards, each giving +3 against Undead.

So, let's say I'm facing a level 8 monster (NOT Undead), and I have 6 total points.

I can play a Wandering Monster on myself that is a Level 1 Undead (total 9 for my opponents). I can then discard 2 cards for +6, for 12, and win. Is this right? Does my strength against Undead carry over to the "living" monster?

[Brf]

Yes. The munchkin total-strength goes against the monster total-strength.

[Gidoza]

Thank you!