If you don’t want to see the $ sign in your views in the workspace, then I guess you can convert the field from Money to Number.
Unfortunately, the CSV export has no option to toggle the currency prefix on/off.
If you don’t want to remove the Money formatting from your field, then as a workaround, you could add a formula field which simply displays the value (without the money) and then use this column in the views which will be used for export to CSV.