My advice is to read--and real medical and scientific journals, not popular magazines. Under no circumstances take medical advice (of any sort) from morning news TV or the like--it's often 20 years out of date. Start your self-education by linking off the research/media watch board here.
And read
The Soft Science of Dietary Fat from the prestigious journal
Science last year.
Read the data
Josh Yelon has collected from medical journals on LCing.
If you're interested in the evolutionary aspects of LC diets, read
Loren Cordain's work.
I also think Adiposity 101 is a good site to read--a couple hundred pages of information gleaned from several serious sources on what is currently known about obesity and weight loss.
For myself, the more I know, the more quietly secure I am in my knowledge. I seldom argue with people, but when I do have an opportunity to speak up, I have scientific references at the tip of my tongue, and that tends to quiet others--probably not because I've convinced them, but because real science often intimidates folks with unfounded beliefs. The only important thing, though, is that I know for myself. It's not my role in life to convert others to LC thinking--they're grownups and can figure life out for themselves.
Many people have support problems with this WOE. Sometimes people who love us are in fact legitimately concerned...sometimes they have an unrecognized investment in our staying "the fat one" or as fat as they. Sometimes parents find it painful when children learn and know more than they about certain issues--thanking them for their concern, and saying "interesting!" and letting the topic drop is probably the best way to deal with this. Then go on and live your life the way you know is best.