On his website, musical theater writer Joe Iconis lists Dolly Parton, the Muppets and whiskey as sources of inspiration. Such influences suggest the piano man’s performances are sufficiently spirited. The Drama Desk Award-nominated songster takes the stage at the new Weston Playhouse at Walker Farm, treating theater lovers to a fusion of show tunes, sing-alongs and cabaret. Though Iconis is the star — his songs have appeared in NBC’s “Smash” — this is not a one-man show. A band of collaborators shares the spotlight, making for what his website calls “a strange and rousing hybrid of rock and roll and musical theater.”