Between the 168gr and the 180gr I'd choose the heavier bullet every time in the 30-06. The bullet I use for elk from my 30-06 is the 180gr Hornady Interlock.It's two for two, to shots two elk! I'm sure the 180gr partition would do the same thing with good hit's.
Yeah, those 12 grains will make a whopping difference...
In terms of penetration and toughness, I’d take the 168 NBT over the 180 HDY based on my experience.