I have just tried this again. For sure, on multiple different machines, and different installations of MAMP, when I import the Types export file from the original site through the import/export dialogue on the Toolset menu, it completes and creates the post types that I see in your window, but the Layouts are broken. Nothing I do will show the layout - I've attached what I'm seeing.
I've been working with Toolset for over two years - if you check my user history you'll see I'm a pretty experienced user - I'm not making some dumb mistake here and I've literally done hundreds of Toolset installations through many dev sites.
Please can I ask you to package the site you've got working and let me download it - it's really urgent for me I get this sorted out.
Sorry - here's the screenshot. Same thing. Importing the WordPress content with/without attachments is not relevant - it's broken way before I get there. I'm talking about importing the Types data, not the WordPress data. Completing the WordPress XML import makes no difference.
Please email me access - I need this urgently now. Thanks!!!
BTW - what you are saying works simply doesn't work on our side. We have been through this dozens of times in every conceivable order and it makes absolutely no difference. The minute that Types data export is imported the Layouts portion of the site is broken. This is without any data imported. Enabling the Starter theme makes no difference.