ORIGINAL: TomFromTheShade
If your rifle will shoot the 180s well then I would use them. The 180 grain bullet is going to transfer more energy, penetrate deeper, and maybe even make a bigger wound channel depending on bullet construction. Moose are big critters! I might even look at the 200 grain bullets.
the 165 would do the job i'm sure but the 180's would probably do it better. the 200s might be something to check out but it would probably be a bit much for whitetails. the 180's should do a great job on all of the animals you will be hunting. but it all depends on how your gun shoots them. if you do use the 180's or 165s make sure its a good quality bullet like the ones you listed.