Ignoring all the other distinctions between lisps, the main difference between lisp-1 and lisp-2 (or lisp-n) is going to be how clean your code looks when you lean into the FP style. In a lisp-2 you'll need to do something like this:
(defun apply-twice (f x)
(funcall f (funcall f x)))
(apply-twice #'1+ 2)
Versus this with a lisp-1: (define (apply-twice f x)
(f (f x))
(apply-twice 1+ 2) ;; assuming 1+ is defined
But there are so many other differences between the lisps in the two categories that this probably won't be the deciding factor for most people.