Uh huh. The second link is to the U.S. National Rifle Association. I think we all know where it stands on the issue of gun control. There's a sidebar on the right of the NRA's homepage that contains the text the OP starts with. The first link goes to whatreallyhappened.com, which displays the same text from the NRA site's sidebar, word for word. There's no link to any studies at either site, just the claim itself and a heap of anecdotes.
You've cited undocumented claims from sources known to be biased in favour of such claims. It may well be true "that firearms are used more than 2 million times a year for personal protection, and that the presence of a firearm, without a shot being fired, prevents crime in many instances," but notice how vague that sentence actually is and what it tries to imply. The clear implication is that firearms are used successfully
more than 2 million times a year for personal protection, and that shots are rarely fired, though in every anecdote I read, shots were
fired. "Many instances?" Without a number, that says nothing. And how many of those attempts at personal protection were in fact successful, versus how many times was the citizen involved or bystanders injured or killed? There are gun stories the NRA never reports either, and in fact its web site specifically solicits only anecdotes that'll appear to support its views.
In other words, what you've presented, such as it is, does not demonstrate what you think it does. It may be a true claim--though I'm strongly inclined to doubt it--but that isn't the evidence that'll prove it.