I think you need a specialty filter or javascript macro. Attached is my quick attempt that you can play with. ABSOLUTELY make sure you have a backup!! Then drag and drop the attached file into your TW, making sure the green import bar shows up, and then selecting "import" for the "Date Test" and javascript macro. There's also a tiddler tagged with "Saturday" to demonstrate that it works today (but it may already be Sunday in other parts of the world). After importing, save and RELOAD to make the javascript macro active.
The code I used to test the javascript macro ("dow" is for Day Of Week) is as follows:
<$set name=field value="created" >
<$list filter="[all[tiddlers]tag<dow>]">
<$transclude/>
</$list>
</$set>
Note that the variable "field" needs to be set to the date field you want to track -- "created" in this case. The reason I pass the value this way is because, for reasons I'm never able to understand, passing the value as a parameter results in a return value that is not seen by other objects, such as filters.
Anyway, as they say, "It worked once."
Good luck!
Mark