I think you are
the letter E.
Are you able to find me in second(s)?
E is the second letter of the word "second".
Found somewhere in Peru,
... and the second letter of "Peru" ...
I am well behaved and follow the queue.
... and the last letter of "queue".
Flipped from the left to right,
In a name to the children's like.
Maybe ∃ (the existence symbol) is somehow associated with children?
Switch places with you and me,
A comfort place becomes a wild beast.
I'm guessing this means there's a word meaning a place of comfort which, when its U ("you") becomes an E, turns into a word meaning a wild beast.
How many times have I shown my face?
All you need is a little trace!
Quite a few times in this riddle, and indeed in most pieces of English writing.