The 'All The Small Things' twins told Closer that they are fans of Lohan's 2004 film Mean Girls.
"She's edgy and a bad girl," Edward said. "So that would go really well with my good boy image."
The pair, who have reportedly earned £1 million each, recently said that they want popstar girlfriends.
John named Miley Cyrus as his celebrity crush, saying: "She's fun and I think she's cool.
"But I think she's got a boyfriend who models underwear."
According to the latest midweek chart, the Irish twins' single has so far failed to appear in the UK Top 40.