New answers tagged connected-web-parts
You can easily use JQuery to get the filter by partial id. SPTextSlicerValueTextControl is the end of the ID of a SharePoint text filter input field. filterValue = $('input[id*=SPTextSlicerValueTextControl]');
Use a Query String (URL) filter. Pass the parameters from your link and connect the filter to each web part.
I know this is not what you wanted to hear, but I don't think you can fill a text filter by the URL used to navigate to the web part page. I believe the best you could do would be a workflow email that has 3 links to a specific(dynamic) view of each of your 3 lists.
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