I can see how this would be very helpful in some cases, but I can't help but worry that there will be an immediate flood of users simply coming to spam their resumes.
The only way I can see to keep this from being abused would be to add a karma barrier. It wouldn't have to be that high (50-100?) to be a pretty good filter.
The karma barrier to entry is a good first pass. Though, if someone wanted to get their resume on the site they could find ways around the karma. (Automated upvoting of a story/comment that they made for example.)
There should be a way for the top 100[0] people to flag the profile as spam which would strip them of the right to post a resume.
The only way I can see to keep this from being abused would be to add a karma barrier. It wouldn't have to be that high (50-100?) to be a pretty good filter.