Leaving the US you shouldn't have a problem at all with that size of crate, they really don't care as long as the dog can stand up and looks comfortable.
I know Europe is a whole different thing, I'm not sure what rules are in Switzerland, but I know for friends that traveled to Germany the dog need a hands width between the top of their head and the inside top of the crate when the dog is sitting. For the UK is completely different and no part of the dog can touch the top of the crate, another friend moved to the UK and she has a mini Snauzer (sp?) and she had to buy a crate for a small lab or golden retriever (the size 6 from the link you posted) because her Snauzer had cropped ears and even though she was leaving from the US, she was flying on British Airways they wouldn't allow this little 15 dog on the plane without haveing this huge crate.
Your best bet is to call the veternairian that works for the aiport you're leaving from or the airline and ask them what the regulations are for flying with your pet. By your post it sounds like the ears can't touch the top, is this right?
