Back up lights/neutral switch HELP!??

[Orangetonicclicc]

help please

I'm trying to figure out my back up lights. I have the 2 light green wires that goes to the reverse lights. So I researched it spoke to a few people and I was informed that these wires go to a neutral safety switch. Well I purchased one and it does not seem to meet the application to my after market steering column. Unless it can be fabricated to go on the very end some how like the picture below. I also read that sometimes this switch is connected to the transmission linkage. Can someone educated me?