And Bishop secured a sixth straight win for the Shakers as the fit-again striker claimed his first goal of the season 11 minutes from time.
Lowe blazed over from an early Andy Morrell cross before the lowly Silkmen broke the deadlock when Lee Bell's free-kick found Sean Hessey at the far post and his shot was deflected in off team-mate Butcher.
But Bury were soon back on level terms as Colin Daniel was deemed to have bundled over Stephen Dawson in the penalty area and Lowe tucked the spot-kick inside the left-hand post for his 12th goal of the season.
Lowe fired into the side-netting just after the break while David Worrall had a 20-yard effort deflected over. Colin Daniel shot over in reply, but Dawson then squared for substitute Bishop to tap in the winner.