I had a similar reaction to it--though I was humming the U2 song a lot. But then, I'm still constantly humming Don't Dream It's Over, another song I never particularly liked!

I would note that at least once before they did something similar and pulled it off. Phil Collins' In The Air Tonight is not only really well-known but is totally associated with the beginning of Miami Vice to the point that people thought it was really audacious to even use it. But it worked for me beautifully!