The first round was called at almost 5:30 p.m. ET due to lightning in the area. Sixty-six players, who remain on the course at Miccosukee Golf and Country Club, will return at 7:45 a.m. Friday morning.
Molder -- a four-time, first-team All-American from Georgia Tech -- opened on the back nine Thursday. He started poorly with three bogeys in his first four holes.
He caught fire from there with three birdies in his final six holes to make the turn at even-par 35. Molder closed with seven birdies on the second nine for a new tournament record and a share of the lead.
Molder, who hit 13 of 14 fairways on Thursday, began the season with no status, but thanks to four consecutive top-15s earlier in the year, gained temporary membership. He stands 62nd in the tour's money list and a big finish this week could get him into the top-60 and a spot in next week's Nationwide Tour Championship.
'You're always trying to secure something, especially on this tour at this time of the year,' said Molder, who was up late Wednesday night battling a cold and watching the end of the American League Championship series. 'I drove it great today. I played from the fairway all day.'
Wilkinson broke into red figures at the 11th, his second hole of the round. He added two birdies in his next three holes and closed his opening nine with a birdie at No. 18.
Wilkinson parred his first five holes on the second nine, but closed in style. He tallied three birdies in a row from the sixth, and parred the ninth to join Molder atop the leaderboard.
'My round started off well,' said Wilkinson, who won the 2000 New Zealand Amateur Championship. 'I really didn't struggle for par much today.'
Jason Gore posted a 6-under-par 65 and is alone in third place. Kelly Sellers shot a 5-under 66 and is tied for fourth with Chris Tidland, who was playing his 18th hole when play was suspended.
Jeff Gove, Troy Matteson, Ryan Armour, Chris Anderson and Brad Fabel are in the clubhouse at 4-under-par 67. Scott Gump joined that group in a tie for sixth place, but is only through 15 holes.