If you were a Starfleet officer with a TNG season 1 mindset, you wouldn't fear your or your family's death.
The Galaxy class was a social experiment so they could send ships on long term deep space assignments for years with a mixed group of Starfleet officers, civilians and families constituting a bubble community. Also the designers didn't know they were designing a ship that would be the subject of a television show so they didn't anticipate such frequent combat. They thought most time would be spent running scientific experiments, making diplomatic contact and charting star systems.
The Galaxy class was a social experiment so they could send ships on long term deep space assignments for years with a mixed group of Starfleet officers, civilians and families constituting a bubble community. Also the designers didn't know they were designing a ship that would be the subject of a television show so they didn't anticipate such frequent combat. They thought most time would be spent running scientific experiments, making diplomatic contact and charting star systems.