The artist's painting of the historic signing hangs in the Capitol in Washington and graces the back of the $2 bill.
The cheesy version is to be displayed near Independence Mall in Philadelphia for July 4, then returned to Wisconsin to be shown at Landwehr's Kerrigan Brothers Winery.
The cheddar will eventually be cut up and sent to food pantries.
It is Landwehr's second project for Kellogg Co.'s Cheez-It cracker brand. Last year, he did several renditions of Mount Rushmore.