Former Waverly Inn chef John DeLucie is opening a new front in the restaurant war with his former boss Graydon Carter. The team behind clubby eateries Crown and The Lion — Mark Amadei, Sean Largotta and DeLucie — is in talks to take over 1920s speakeasy Bill’s Gay ’90s right across the street from Monkey Bar, co-owned by Carter. If the deal goes through for the East 54th Street townhouse, they hope to reopen it by the spring. Sources say they plan to re-create the old-time feel of the original bar with a first-floor tavern and several private rooms. Carter was partners with DeLucie at Waverly Inn until he left last year to open The Lion. A Crown rep had no comment.