If you also cloned the first 512 bytes of the disk, you copied the partition table as well as cloning the partition. Maybe you should look up the definition of the word clone in a dictionary. Your result wasn't a quirk. Copying the filesystem exactly results in the same filesystem.
There is a example of piping files from one drive to another in the tar info pages. See section 4.6 for the details. Make sure you don't include /sys, /proc, /lost&found, /media, or /mnt in the directories to copy. It would be a waste of time to copy /tmp. It would also be better to use a live distro disk so the original filesystem is off line.