To assure you, we aren't currently able to amend the ordering of the underlying data.
As you say, its sorted alphabetically (and maybe by data type)
Idea created here >> https://community.tableau.com/ideas/1123#comment-7537
FYI - View Data has an ideas group all of its own...Re: Tableau Forums Digest #11
I faced similar problem with the underlying data. Unfortunately we do not have any control over this. All we can do is to extract the data and rearrange it manually.
One turn around is that we can name the fields in a way that would come in the order we want to see.
Thanks Mark...that's what I thought. I am going to submit a ticket with them hoping its not a total waste of time.