Should I offer to come to campus if given a phone interview? I applied to a faculty position at a university (a small state school) near my hometown and I just received an email invitation for a Skype interview later this week. Coincidentally, I am visiting my parents' house this week, which is about a 20 minute drive from the institution offering the interview. 

Would it be weird if I mentioned that I am nearby and/or offered to come in and meet some of the members of the department in person while I'm here? 

I didn't mention anywhere in my application that I grew up nearby nor did I indicate that I have family here. I did all of my studies out-of-state and I'm currently living on the other side of the country. However, I am excited about the opportunity to move back "home"!
It is worth asking and is probably worth a visit even if they would rather stick to a Skype interview. They may prefer that so as to treat all candidates equally, but if that isn't necessary, they might prefer you to come in person. 

It is a good way to get a feel of a place and to meet a few students and several faculty. I don't see any downside in asking. 

"I'm actually quite close and could easily arrange a face to face visit. Would that be preferable?"