private servers sharing common root

[teddy]

See a setup where they are building a lot of new servers.
To enable scripts and automation they all share a common root password.

I have learned that the same passwords on multiple servers, especially 
the same root
password is a recipe for an insane amount of work, especially if there 
is a security
breach. Because ALL the servers with the common password must be 
considered compromised.

Now in this instance, these are private servers, not available to the 
outside public.
They are relatively safe and secure. Nevertheless, if a security breach 
does occur
they are all considered compromised.

Can a bash script that sets up a common root password, somehow operate 
on servers
with different root passwds?

(Sorry if it sounds confusing. I am confused too at this time)
Perhaps in a few days I can repost with a clearer picture :)

/teddy

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