Comment by elmerfud

This is clearly not true. You don't see people with dedicated programming professions. What you do see is engineers that have different job focuses. You have engineers dedicated to mechanical systems you have engineers dedicated to the computer systems and you do see engineers that are highly focused on specializations within those fields. If you wouldn't call the designer of the EMH program a programmer what would you call him?

Even in the current society a programmer is not some dedicated person to just program things. They have to be able to branch out and understand the systems their program is going to interface with. It is no different in Star Trek. It seems programming is more common across all jobs but there absolutely those who specialize in it.