Amy's right on this one. The only person that's responsible for a relationship is the people who are in it, if you're single it's not your problem.
Does it make you a bit of a dick? Probably, but it's still the fault of the person in the relationship for jeopardising it

I hate nothing more than when it transpires someone cheats and the single party gets blamed (usually the woman) and screamed at while often the cheater gets away with it, it's sexist nonsense that shouldn't be encouraged
To answer the question...a married person? I really don't think so. In fact, 'dating' is probably a bit too strong regardless. I don't think I could personally ~date~ someone who was in a relationship, it just seems a bit pointless, you aren't exactly the priority and it's a little too much. But if I were drunk and the opportunity of a one off thing presented itself? Eh, I don't know...maybe. It's one of those things I don't think I'd truly know until I was in the situation - a penis/head dilemma