Charging that Palm Springs Mayor Sonny Bono has reneged on campaign promises, members of two citizens' groups--Save Palm Springs and Citizens of Palm Springs--have joined forces to seek the recall of the celebrity-turned-politician. Critics charge that Bono, 54, who was elected in April, 1988, failed to take decisive steps to revitalize the city's struggling downtown and has been inaccessible to the public, despite his pledge to maintain an "open-door" policy. Dick Sroda, one of five people who signed an "intent-to-recall" letter mailed to Bono, also accused the mayor of using the office to promote his acting career. Bono was en route to Hawaii and unavailable for comment. Proponents of recalling Bono must gather 4,060 signatures to qualify the measure.