Re: Typical attitude from the unoppressed...
"It's not a bad idea, per se, but I don't think that its workable"
You don't use CV's, you use application forms and separate the personal details from the qualifications and experience sections. Scoring is therefor blind, and while skills and education ight drop hints (someone going to a girls college is most likely to be a girl, after all), as it's the grade that's marked, and marking is reviewed by sample, you can get into a lot of trouble if you're not being fair.
This system has worked for us for near 20 years.
At interview: That's a different matter. However, even there we have an approach that's fairly open and equal: Three interviewers, one of whom is from HR and scoring is done against pre selected questions. Technical tests are marked blind (candidate number only) to ensure no bias there.
AKA if you apply yourself, you can make it work.