It does sound creepy, but the only time I really felt like it went overboard was any time you had the fat character praising any girl under 10 as an angel. Other than that I didn't feel like it went to over the edge, it ended up making a rather cute story with a lot of rather touchy moments that made you tear up.
I just pretend the Usagi Drop manga doesn't exist. It doesn't, never did, never will.