Kevin,
I like this song. It's different from what you hear at some weddings. I'm not going to post here and "preach" to you about your decisions! And, as far as I'm concerned- this song shouldn't be disrespectful because you aren't getting married in a church. Do what you like.
My husband sang "Now and Forever" by Richard Marx at our church wedding. It was lovely. He has also sang at other weddings- at his sister's outdoor wedding, he sang "You Fill Up My Senses" by John Denver. That's a different song, too, but very appropriate.