I get a smile on my face when I hear the words "knock down power". If a bullet had the power to knock an animal etc. down it would do the same to the one shooting it.
I have killed a good number, 100+, of deer with the 308 Win over the years as well as other 30 cal. weapons doing crop damage control as well as just hunting. If you want to shoot those heavy 180s unless you hit the CNS be ready to do some trailing. On the norm they are too heavily constructed and the 308 does not drive them fast enough to expand fully and impart shock as well as permanent wound track in the average size deer in my experience and they run off a good ways. If long range, over 300 yards, is in the mix then one of the 165/168's comes into play because of the retained velocity and better ballistics. But if under 300ish yards is normal then 150 or lighter seems to work best. I have killed a bunch with the 150 Sierra Pro Hunter and Game King and Nosler BT pushed by IMR 4895. The BEST deer bullet I have ever used for 300ish and under yards is the Nosler 125 gr Ballistic Tip pushed by 46 grs IMR 4895. This is a thin skin HUNTING bullet not a VARMINT bullet. This does right at 3000 fps from my 21 1/2" Heart barreled Rem 700 and is bug hole accurate and has been in a number of others rifles. Just like any of the Ballistic Tip bullets impact velocity needs to be under 3000 fps or you will have blow up problems. In my experience best impact velocity for deer is under 2800 fps with Ballistic Tips and it will exit from a deer shot through both shoulders. With the 125 BT out of my 308 at 3000 fps and 30x47 2850 fps rifles and 14" Contender Pistol in 30-30AI at 2670 fps I have shot at least 100 deer mostly inside 300 yards and I can count on one hand those that have not been dropped in their tracks and those did not go over 3 or 4 jumps before going down for the count. I have not tried any but the 125 Nosler Accubond just might be a good one also.