tl;dr: They had special hardware that aided in dynamic language processing, like 40-bit words and hardware dynamic dispatch.
And it would not help you at all today because the most prohibitive part of the system is really the size of the CPU silicon wafer and its efficiency, and C is faster than Lisp and people are totally okay with writing code in it.
EDIT: RE: getting into Lisp in a big way: https://web.archive.org/web/20080709051856/http://www.lambda... tells you all you need to know. Specifically:
"And the problem with Lisp? The answer is tailor made for the minds who program it. It is the koan of Lisp.
"The answer is that there is no problem with Lisp, because Lisp is, like life, what you make of it."
Your Lisp code (unless it's an emacs tool) will never work with anything or anyone else. You're invited to write everything from scratch, and doing so is easy; it's just difficult for anything you do to be used by or with anyone else's code.
Lisp is so beautiful, and yet so dangerous.