I don't endorse dating a co-worker, however, I am not completely 100% against other people initiating a relationship with a co-worker.
I know two couple that met at the workplace, started a relationship, married and remain happily married. One couple is two gay men (they are legally married in Canada) and the other is a hetero couple and they are now married with two children.
An important note about each of these couples. They were in completely different departments when the relationship began (so they didn't work side by side or, when it is really an issue, in a superior/subordinate role). They also kept their relationship private until they were moving in together. They acknowledge each other at work, physical contact is kept to a bare minimum (a peck on the cheek to say goodbye if someone is leaving and the other's shift goes on longer). They do not discuss their personal life at work (and one couple admitted that they try to keep work issues out of their home life). In the case of these two couples - I have no problem with them having met at work.
In many women's magazines, professional magazines and work/career sections of newspapers, there are very good guidelines about how to go about the tricky situation of dating a co-worker. The actions of my workmates who dated and made this work is a good example of what these articles say.
Personally, I tend to get wrapped up in my relationships and would have trouble if there was a breakup. I like to compartmentalize my home life and my work life. Dating someone at work wouldn't be good for me (it's not an issue for me as I am married with a family of my own).
In answer to the survey - I stated that it is not a good idea - but I am certainly not dead set against it, along as it is done with ethics and tact.