There are many flaws with your analogy. Other commenters have pointed out some. I'll add another: ISPs specifically have a safe harbour provision under the DMCA

There are many flaws with your analogy. Other commenters have pointed out some. I'll add another: ISPs specifically have a safe harbour provision under the DMCA (for example) to specifically exempt them from the liability of anything illegal their customers might do (provided they abide by the other provisions).