Gretchen, Microsoft Recruiter and blogger, suggests that you include your name on resumes posted on job boards, but as a consultant, I’ve always told people not to do that.
I always suggest that people remove their name address, and phone number on a resume that is open to the public, and replace them with an email address created just for that resume. This way you know that any contact via that email address is from people outside your personal network (you are keeping your personal network active especially when you are not looking for a job, right?)
The reason is not to hide from your employer, but from very unethical recruiting and consulting firms. These firms will submit your resume to potential clients without your approval, and will contact you only after the client is interested. In the meantime, you may have already submitted your resume to the client directly (or thru another party) and now your resume had been submitted twice. Most clients I know will not look at resumes that are submitted twice, just because they don't want to get involved with the hassle of figuring out who submitted the resume first (and all the legal issues associated with that).
I know it is a pain to the corporate recruiter, but there are lots of folks out there that ruin it for everyone.