Having a picture on your resume is standard here in Europe, at least in Switzerland. When I first moved here I resisted doing it thinking it was weird but then I was shown example after example of resumes with photos I gave in. I've also successfully found two jobs here with a picture included resume, and had no luck before I was converted. All depends on where you live.The photo is for LinkedIn and my portfolio website, not the resume itself. It's all pretty tightly interwoven.
The company I most want to interview with places a VERY heavy emphasis on the cover letter, so I'm spending a lot of time on that. They hire less than 2% of applicants, so standing out is key. I just don't want standing out to mean quirky or strange formatting.