Is it so obviously fake that it doesn't look like money at all? I'm not sure about the particular one you are using, but every one I have seen tries to make people think it is money for a moment until you realize quickly that it is not. It is a ploy to either pick it up or take one from a person.
I don't think the evangelistic version of pickup lines is the way to go. Sales techniques are not the key to evangelism.
Because so many of our relationships - especially with strangers - are advertising or sales related, people are extremely jaded to any interaction with strangers that is based on a gimmick or cleverness. Acting like a human being, wanting nothing in return for a few moments of genuine conversation is incredibly refreshing and powerful in today's culture. Using clever lines and slick tracts simply lets the other person know you are driving for a decision or commitment without much regard for them as a unique individual before God. If you are inviting people into the Kingdom of God, you won't need cleverness or slick handouts. They can help, but they often hurt.
Instead of going to an event geared toward those who experience same sex attraction taking on the norms of the broader culture, why don't you try befriending gay people and demonstrate love and compassion before you talk about why you are doing it? Believe me, the question will come up and they will probably raise it. Remember, you can affirm them as people and not affirm every aspect of their lives.