Emotionally, I think it does a great job. Logically, it's pretty stupid. The music, the effects, and the plot all work together to make you feel something, but the plot doesn't really make sense when you think about it at all. I don't think that should be a requirment. There are plenty of stories that do the same thing.

I think the issue is that it's sci-fi, which has a certain expectation of logic. The characters are all scientists, but then they just ditch logic. I think it took themes from another genre and put them into sci-fi and it did it fairly effectively. It's just the sci-fi is usually there to make you think, but Interstellar you're just supposed to feel and not think.