"Ultimately we need someone we can trust running that org (I'm not taking a position here)"
Or, those organizations should just be scrapped. There's no fundamental reason a CDC must exist. Sweden's CDC boiled down to one man, and his entire policy response was to tell people to chill out. The country was rewarded with better outcomes than most other places - lower COVID mortality than the European average, less economic damage, way less damage to the fabric of society and so on.
Given the CDC's performance it's pretty clear it has no idea how to control diseases and isn't even institutionally capable of maintaining a very basic, grandmother level understanding of respiratory diseases (natural immunity exists, seasonality is important, not actually everyone will get ill simultaneously, etc).