During the Vietnam War in Australia, there was conscription. I'm just wondering whether under that system of conscription whether a politician, assuming they were otherwise eligible, could be conscripted if their birthday was chosen?
I can't answer for Australia, but I'll answer for the United States.
During World War II, a young (draft-aged) Congressman (and future President) named Lyndon Baines Johnson wanted to volunteer for the U.S. army. President Franklin Delano Roosevelt was horrified at the thought that an American Congressman could be killed, or worse, captured in battle. The President threatened to intervene with the Armed Forces to reject Congressman Johnson, who then withdrew his application.
Politicians at the level of "Congressmen" or higher would be considered too valuable to conscript. Maybe a very low level politician such as an assemblyman might be called.