To say that the New York Dolls were not a huge influence on the punk rock scene on both sides of the pond in the mid to late 70s would simply be ignoring history. One need only check out Steve Jones' guitar solos on any of a number of Sex Pistols singles to hear his shameless rip of Johnny Thunders unmistakable guitar sound. The Dolls had the punk attitude and the amphetamine-laced hooks down when their eponymous first record hit the streets way back in 1973. Shambolic and raw, they sounded as if their entire operation could crash and burn at any moment, but their sound perfectly meshed with the zeitgeist of the burgeoning punk movement.
Here's exhibit A, the Dolls' Personality Crisis, which has always sounded to me like Chuck Berry on crank. Cheers!