Joomla to Drupal module - migrating issues Notes: Drupal 7.x. Joomla to Drupal module version 1.0 ALPHA3

I was playing with the Joomla to Drupal module, which is currently in alpha. I had imported some 100 content items from a Joomla install using this tool. However, making changes to some of the content was producing errors, so I decided to start fresh; I deleted all of the imported content. 

I then attempted to redo the import, however, it threw additional database entry related errors stating that it was unable to overwrite tables. 

I decided to start anew by disabling and then removing the module and its related tables all together; logged into mysql and removed tables joomla_categories joomla_content joomla_sections and joomla_users as well as the joomla directory under ../sites/all/modules. 

I proceeded to reinstall the module, and went to configure it; all of the settings were intact i.e. database name, password, etc. from the previous install (caching?). 

I go to perform the import, and a database error shows up stating that the joomla_users table does not exist. I log back into mysql and notice that the module did not recreate the joomla_ database tables.

Isn't the module responsible for creating these tables? Can anyone see what I may have done wrong in my process? If the module doesn't create the tables, what does?
From the sounds of it, the module was not uninstalled correctly. You should first disable the module, then when the modules page reloads, uninstall it.  During the uninstall process is when hook_uninstall() is run and the database tables and any saved variables (from the variable table) should be deleted.  

If you didn't uninstall the module correctly, Drupal never performed these actions, and therefore still believed the module was installed.  Since it believed the module was already installed, the database tables would not be created.

For more information regarding uninstalling modules see the article: Uninstalling Modules