it's a given that most applicants have good gre scores and grades, so those can pretty much be removed from the equation. work experience is a tricky one. there are those, and i count myself among them, who think it's quite important and that students do themselves a major disservice by entering programs fresh out of undergrad. however, these students fare quite well when put up against undergraduates for analyst positions, so programs do enroll students with no work experience.
i truly believe that essays (and recs, to a lesser extent) can make or break an application. if large numbers of applicants have 166+ math new gre and 3.7+ gpa, how else can you distinguish amongst them? there was someone the other day who mentioned getting a rec from a landlord, and this was probably a kiss of death. if your essays are generic (not saying yours are) and do not demonstrate that you've spent a good amount of time thinking about why you want to enter this field and what you want to do, you might as well not apply.
my response was slightly sarcastic, as i tend to be, but it's the flat out truth that the soft skills are extremely undervalued amongst the mfe applicant/student population...and i'd argue that this hurts applicants to both schools and firms.
it's really not, but then, i've been in a program and seen it first-hand.
edit: grammar