For me it seems you overwrite 3 classes in your config xml, but there is only one exists in your folder structure. I tried the module as you describe it here (but no modifications to core files, just copied them and changed class definitions) and get the same error. In the system.log this error looks like:
Failed opening 'Mypackage\Catalog\Model\Product\Attribute\Backend\Tierprice.php' for inclusion
In your folder structure you will need the following files (in addition to existing one):
app\code\local\Mypackage\Catalog\Model\Product\Attribute\Backend\Tierprice.php
app\code\local\Mypackage\Catalog\Model\Product\Type\Price.php