To backup:
From a terminal, run:
dconf dump /org/mate/terminal/profiles/ > backup_mate-terminal_profiles
save the backup_mate-terminal_profiles file somewhere for later
To reset to defaults:
dconf reset -f /org/mate/terminal/profiles/
To restore all your settings:
dconf load /org/mate/terminal/profiles/ < backup_mate-terminal_profiles
Modify profile list
dconf write /org/mate/terminal/global/profile-list "['default', 'dracula', 'solarized-dark', 'solarized-light']"