Karen and Greg Alpert's parody, featuring their two children -- Zoey, 8, and Holden, 6 -- has been viewed more than 280,000 times on Facebook.
Blogger Karen Alpert told ABC News that she's watched the film for the "2973848678th time," last year with her husband, who had never seen the film.
"And that scene made both of us tear up," she added. "Well, lots of scenes made us tear up, but that one especially."
"Oh my gosh, it's heart-breaking," she said of the iconic scene. "He loves her so much, and he knows he can't have her. But I love that scene because he gets everything he's thinking off his chest so he can move forward. As he walks away, you just get the feeling that he is going to find someone else who is just as amazing if not more."
When the Alpert's filmed a version of the iconic scene earlier this year, Karen Alpert said "it was about 20 degrees and windy outside, and he was freezing. I felt so bad for him, but he was such a trooper."