I converted a physical server to a virtual server using the VMWare Converter software.  This went flawlessly.  As part of the conversion, it even gave the virtual version of the server a new name so I could bring it up in parallel to the physical one. 

Everything went smoothly until I noticed today that SSL (port 443 connections) was not working properly on the Default Website.  No amount of prodding inside IIS Manager fixed the issue. 

After a bit of thinking, I deduced that maybe the certificate that I installed for SSL was somehow linked to the old server name.  I re-imported the certificate (PFX file) and bingo the SSL portion of the site was operational again.

Kewl!

--David