No they should not. The person who has issue with their gender is unfit to serve anything. Army uniform and rifles are privilage and arent just handed over to you to go and serve. Its takes serious mental and physical determination....whats the use of people who cant differentiate if they are man or woman despite their genitals and biological bodily function saying it otherwise of what they feel clearly. Gays and Lesbos are fine because they are still man woman... but trans?? Seriously... what if they get offended by Army jokes and mental disintergration (some are quite frankly horrendous)....what are they going to do.. sue MOD over being offended over army jokes?? Hang themselves because mental disinterrogation session and roasting and hazing sessions are extremely offensive???