A strict liability crime is something of an oxymoron. Crimes always require intent, the mens rea element. The question is intent for what. If somebody drugged you without your knowledge and you were charged with a DUI, you would have a defense--no intent to become intoxicated.

The strict liability means once you choose to become intoxicated, you're liable for driving intoxicated, even if in some other context your intoxication would mean you couldn't form the requisite intent for something, e.g. have sex.

If there's too much distance between the act you intend to do and the strict liability acts that complete the crime, then the crime would be considered unconstitutional.

Criminal law in common law systems emerged from tort law, so there are many parallels, including the notion of strict liability. (Thus the old axiom about crimes being an offense to the king, specifically an injury to the peaceful society he's ostensibly trying to maintain.) But criminal law has a moral dimension that is absent or muted in other areas, so strict liability could never be as expansive as in tort law or regulatory law.