Replying to Parents friends adding you on facebook?

One of my dads friends added me on facebook and I don't want to accept them because it could give my dad a medium to stalk me with,not that I do stupid things and talk about them on facebook. I feel like if I don't accept this stranger I have never met my dad may yell at me. On the flip side it could be some woman he pissed off and she is trying to stalk my dad through me.
anyone else have this problem and think its kinda creepy?