Hello,
I have visited your website and the catalog mode is working absolutely fine as it should be.
Screenshot for Clarification: https://ibb.co/nfyvpmX
It seems that you are misunderstanding the functionality of the catalog mode. Basically the catalog mode disables the shop functionality from the website and disables add to cart button and hides variations from variable products.
You can hide the cart widget from the header from WoodMart >> Header Builder >> Edit Header >> Remove the cart module.
Screenshot for Clarification: https://ibb.co/Zdt4S3f
In your case it’s working absolutely fine. Please provide with some relevant screenshots of the specific area what you want to achieve using catalog mode to check it myself and help you out accordingly.
Best Regards.