This will require some customization. There are two "easy" routes you can take, depending on your comfort level
If you know jQuery, you could throw a script on the page to find the links to the project details, and change them to go to the tasks list, filtered by the project.
If you don't, you can use SharePoint designer and convert the web part to a "XSLT Data View" (search for that you'll find a plethora of articles on how). Once converted you can modify the hyperlink to go where you want.
If you're using a single tasks list for all of your projects, you can hyperlink to a tasks list and filter on it by doing something like
where allitems.aspx is the view you want to use. You can play with this by going to your view, then filter the view using the column header. Then note the values in the browser's address bar.