It is easily programmed to change this behavior. You can do it at home. You can change the run time to 15 minutes and turn off the horn chirps at start, if you want.
To change the stop engine "feature", you need to set option 7 in Bank 2...
http://techservices.codesystems.com/
This apparently is the supplier of the Ford remote start systems. Just create a Login and then click Ford at the top of the page. The PDF that you are looking for is titled
'PROGRAMMING - GEN2 BRONZE WITH OR WITHOUT "MYKEY"'. It details the programming process.
Interestingly, there is also a document titled 'NEW 2010 MODEL YEAR SECURITY ENHANCEMENTS FOR MYKE', which is a memo to dealers stating not to reprogram this for customers even if they complain about the issue in this thread...