Dropping how? You mean not using it in every day life? I have never used my middle name in anything - EVER. Even the taxes I file are based on my first and last name and IRS and SSA have always been able to match my records. Also at work, they have my full name for employment law requirements but my email and public work records are only first and last name because I specifically requested it. All my credit cards, bank statements, etc only use my first and last name.
So in short, it is doable. Your name is your name - you can choose to leave out the middle name. I also have family members that initialize their first name and go by the middle and last name - such as P. John Smith.