I agree that there is a lot of speculation and bias in science. However, I will disagree that Native Americans were near vegetarians before the horse. The idea that the meat in a native American’s diet was harvest mainly from large mammals is a myth. It was much more common for them to eat fish, rabbit, squirrel, turtle, and other small animals. The large bison remains found in ancient native American sites preserve easily, so they are over-represented but that does not mean it is what they mostly ate. There is lots of evidence for small animal and fish consumption. At the same time, it is important to note that meat supplemented their diet MUCH less than an average American today, but I don’t think they needed a horse to get plenty of meat.
I think it’s also good to note the other ways to kill large game with thrusting weapons besides stalking them and ambushing them. This tactic would not work with most animals, who have much better smell and hearing than we do, and are much faster. It would work with some animals that might stand their ground (like a boar). One other way, yes, is to pursue them until they cannot run any more. An easier way is to pursue them off the edge of a cliff (a tactic used by Natice Americans to do with animals that run in herds) and then either harvest them or kill the injured animal with a thrust. Also, you can chase the animals in to a kind of choke point (like a ravine, or very thick brush, or a funnel made form fallen logs and debris) where you have other hunters waiting to ambush. More likely, however, is that most of their “hunting” was scavenging, killing weak or injured animals (like most predators today), cannibalism, fishing, or catching animals like turtles that don’t require as much work or risk of bodily harm. Yes, I’m speculating, but it makes sense to me.

So you can get lots of meat without projectiles too. The extent that Neaderthals were intelligent enough to use choke-points and cliffs in their hunts, I do not know…but I’d tend to think they were.
By the way, I am enjoying this discussion and appreciate all the different views and information here. If I try to talk about this stuff with people I know it real life, I get either glazed eyes or a quick change of subject.

I should also note that I’m not an expert, but I find this stuff fascinating and I learn all I reasonably can about it. Another cool book to check out is “Search for the First Americans (Exploring the Ancient World)”
MELTZER DAVID J. I read this one for an anthropology class, pretty cool stuff.