I am a big advocate of including links to your social media profiles on your resume. No, not your Facebook page where your Mom comments on your vacation photos; professionally focused social media accounts where you show that you are engaged in your professional community and perhaps even a thought leader in your arena. However, there are times when it is best to not even highlight professional social media.
If you use social platforms like Twitter, Instagram, or Pinterest to share your political or religious views–which is a perfectly fine activity for social media–then I don't suggest including those profiles on your resume, even if they also are professional in nature. You want potential employers to evaluate you based on professional qualifications, not politics or religious views. Just like listing religious or political affiliations on your resume, by listing you’re a social media feed that plainly shares those views, you are welcoming employers to consider the content of the profile when making a hiring a decision.
On a related note, it is increasingly important to have a well-curated "social resume." While I generally encourage people to live fully-integrated lives, you have to be very careful with what you include on a professionally focused social media profile. Otherwise, you might find that all the work you've done to build a professional profile is moot because you can't feel confident sharing it with potential employers.