[liberationtech] Buffoons stepping all over my privacy with muddy boots

[The Dod]

I've just changed the date of a flight, and got an email from the 
airline that also gave a link to my flight details at a site called 
checkmytrip.com
It's SSL, but that's where the cargo cult ends.
This url doesn't seem to contain anything with entropy, and leads to a 
page showing flight details, weather, and... my name, email address and 
2 phone numbers.
OK. The airline leaked this someone without my consent, and even if they 
have a privacy policy, too late for me to read it.
But it gets better.
They have a "share this" option. Mail/twitter/facebook. I tried mail 
from/to trash mailboxes, and I get the exact same url I got.
ZOMG. I could have twoten my identity all over the galaxy if I was a wee 
bit less concentrated.

What's the procedure in such cases? How do I make this info disappear 
from that site without too much pain for me? Assuming they do that, how 
big is the threat of this info leaking to whoever checkmytrip are 
wheeling and dealing with?
I mean, do I need to change my name and phone numbers? :)