Do all pedophiles look the same?

Short answer is, definitely not.

It's the same as inquiring if all heterosexuals or homosexuals have a similar look, which the obviously don't.

I know that there are sterotypes of how pedophiles look but these are various and many. Ranging from all of us being fat slobs to us being very charasmatic so we can woo children and their families. Of course when you have so many stereotypes about one group you will find a few who fit this mold but not many.

"we recently had a child porn sting where i live"

Consider the source you are getting this stereotype from: the media, who have a clearly negative view on us. Did the television clip you saw on this (I assume you saw this on television) show ALL the people caught? Do you think these people were given time to shower, shave, etc before getting pulled out of their homes and shown on national television? How attractive someone appears to others is largely dependent on how they feel about themselves. I'm sure these men were not feeling very self confident right then. Have you ever known someone personally and seen a mugshot of them? Pictures like that hardly make the person look good.

"i wonder if there's something to it
being a so-called pedophile and being out-of-shape"

no

"what do you look like?"

I'm 8'489.532", green, have three eyes, and purple hair.

Really? Really, Really? Are you actually expecting people to describe how they look right here? I hope no one here actually describes what they look like.

If you can't tell yet I don't think there is any common look that all or even most pedophiles share. I'd be happy to help with any other questions you have.