With project Honolulu, it will use your AD credentials. So anyone who has access to the servers will be able to use project Honolulu to view your servers, they will just need to install it on their Windows 10 machine and supply their credentials.
You will need to make sure WinRM is enabled on your servers.
I hope that clears things up for you. if you have any more questions let me know.
If they access the website on your computer, they will be asked for credentials. If they are an admin they can enter theirs, but they will not see what you have set up. They will have to add any servers they want.
You may find that your windows firewall will be blocking the port you set up Honolulu on and your other admins will not be able to access Honolulu running on your computer.
In the latest insider build, you can install it on a failover cluster, if you go ahead with Honolulu you should have a look at that.