Sorry if I'm missing something here... but I've done a ton of joomla sites and this is my early experience with wordpress.
But there seems to be a bug with this plugin. If you use the same widget twice in a sidebar it cause layout issues.
For example I use two text widgets with different content and then place them on the same page in the sidebar. While the first one shows up fine the second one display across the whole page and no within the sidebar. Also if there are no sidebar widgets placed in a particular page is still displays a blank area. Here's a link to the page and site that has the issues. Thanks
BTW when I disable the plugin everything displays just fine.
You can see it with test1 and test2 headings. I'm using the text widget for both of these.