What's the impact of PhD Advisor on your faculty job? Are there people out there who can provide first hand account or refer me to literature that discusses the influence of PhD advisor on your chances of getting a faculty job?
Well, there is the less direct answer to your question, which is that between providing funding, data, infrastructure, reaching out to colleagues, etc. your PhD advisor will have a profound amount of impact on your work, which will then have an impact on your faculty job search. For example, my project really took off when my advisor told me to email someone who had data, and to make sure to mention I was his student.

But I expect what you mean is the more direct question of how does one's advisor impact the actual job search. And, as with many things in academia, the answer is "It depends."

At the profoundly influential side of the spectrum, I have known people who have called in favors for their students and essentially conjured up jobs, or at the very least prompted a search that might have been a long time down the line. At the same time, I have also known advisors who have been reasonably hands off about the entire thing beyond writing letters, positive advice, and providing a supportive research environment. It all depends on how much they're willing to throw their weight around, how receptive their audience is to that, and whether they have favors in the right "place" (for example, if you're headed to a slightly different field, someone with a lot of clout might not be able to carry it as far).