Nope, not everyone lies. The bible records numerous individuals who lead righteous lives, which of course means no lying.
To believe "all men are liars" is to call Jesus one when he says to Nathanael: "Behold an Israelite indeed, in whom is no guile!" (John 1:47).
"All men sin" and "All men lie" is inconsistent with the broader biblical narrative (being particular to the New testament and Paul's letters especially). I think most men lie at some point, but you will never convince me that "God made them do it - either directly or through some 'sinful nature' He supposedly gave them in order to have mercy on them later". Sort of inconsistent with a Righteous and Holy God.