Both redistricting (ie, apolitically drawn districts) and non-partisan primaries are intended to benefit more moderate politicians, who may pride themselves on finding compromisesandreaching out to foes.
For example, even in the midst of gridlock in 2012, Democrat Barbara Boxer of California and Republican Jim Inhofe of Oklahoma reached agreement on a major transportation bill, and Democrat Tom Harkin of Iowa and Republican Mike Enzi of Wyoming forged compromises to produce a far-reaching food safety legislation.