1. It isn't relevant to most of the jobs.
2. You aren't entitled to a job.
3. Your well-roundedness and other things you bring to the table is your perception - it might or might not be real and the employers might not feel that way.
4.
"You are a English Major. Great. So why aren't you doing what English majors do."
"You majored in Music. But this is a software development position."
You might not even get a chance to prove you are good(and justifiably so - you aren't qualified), and you might blow up given a chance because you somehow thought your English major makes you qualified for all jobs.
If you are majoring in English, and you want a job in software development, you will have to develop software, build your github profile before people start taking you seriously. Don't expect your degree to play a part.
5. You realize that science and engineering disciplines require a certain amount of time and labor, before you can be considered qualified to work. You can not weasel your way in citing "bah but I learned critical thinking".
6. Steve Jobs' quotes about Mac and liberal arts isn't going to do you any good. Apple hires A grade designers(both UI and industrial designers), and won't care about your English degree unless you have a track record of delivering great designs.