On the front page of AA.com I can log into my frequent flyer account without having to click to go to a login form.
Being able to select a date with the calendar is much more effective when trying to make plans three months out. Parsing unstructured data from text fields is "cool" but increases ambiguity for the majority of users.
What if I want to buy a ticket with points or want to only see flights that have first class available? You're design is going to require me to fill out two forms (or toggle filters at some point).
The AA.com website is not perfect. However, it is effective in ways your mockup is not.
Your position is extremely arrogant and I doubt that you have the experience to back it up.