Kim shot 9-under 63 in Thursday's first round and her 68 on Friday gave her a 36-hole total of 13-under 131.
During Friday's round, she negated a bogey at the par-5 sixth hole with five birdies.
"Today was just personally quite a struggle I thought actually," Kim said. "It seemed slightly more difficult."
Wie's 65 was her best single-round score since a 66 at the 2006 Evian Ladies Masters.
"It helps to have a good bounce here and there, you know," Wie said. "But overall, I felt like my game was pretty solid."
Defending champion Sherri Steinhauer (71) missed the cut with her two-day total of 2-over 146.