Wheeler, 30, was the fifth overall pick in the 2004 Draft by the Coyotes and was acquired by the Jets/Thrashers franchise from Boston in a 2011 trade (along with Mark Stuart) for Boris Valabik and Rich Peverley.
Wheeler is coming off a season in which he played all 82 games, scoring 26 goals and 78 points.
Scheifele and Byfuglien finished second and third in team scoring last season, with 61 and 53 points respectively. Scheifele was drafted seventh overall by the Jets in 2001, while Byfuglien was acquired by the Thrashers in 2010. He signed a five-year, $38 million contract extension earlier this year.