i wore <2 inch heels, but my feet were killing me, especially when i had to trek all over creation on public transport even before getting to the interview. in that case, i'd bring a big purse and wear comfortable shoes until you get there, then put the heels on.
some schools advise different shoes for the tour. i wouldn't feel weird about it if it is offered. do it. your feet will thank you.
all that being said, if you're not used to wearing heels, wear something flat. this is not the time to "try on mom's shoes." if you're used to flats, do that. no one will care as long as the shoes are professional looking. there were always a few ladies that wore frumpy orthopedic shoes. i DEFINITELY wouldn't go that far, but i'm sure you can find some cute mary janes or something.
OP-it's not weird. i'm 5'11" and wear heels. it makes me feel more confident. don't know why, but if that's what you like and the shoes are professional, go for it.