I use fishing line almost exclusively, and yes, it can kink and knot. I've noticed a particular propensity for knotting just as I'm about finished, as if the stuff sensed my excitement and just wanted to frustrate me.
I have a small desk lamp on my beading table, the halogen type that has glass between you and the lightbulb. When I noticed my thread getting kinky, I run the thread across the glass slowly with tension. It's sort of like ironing it. It straightens it out pretty well, and beats getting up to blow dry it or steam it.