I would like to help!
I am decent at hardware, I think all you would need is the proper 3D lens screens, and it would probably be best to use a custom Cardboard VR headset like @CodeTycoon mentioned. we would also need to figure out the correct communication protocols, and get the right connections @ stuff.
Yes, you should be able to connect an Xbox controller to the arcade and use those buttons, however, it doesn’t increase the amount of inputs, and then you will not be able to connect the headset.
on another note, I realized that since 3D is very hard for the devices to handle, you probably meant that it would connect to the emulator. this would be much harder, depending on whether you do the website or the app. it might help if you used @UnsignedArduino’s convert-your-makecode-arcade-games-to-executables external tool to make it an executable, which then could grant further accessibility. if you choose to go this way, you will probably have to create and code certain drivers for connecting custom hardware (or find something online).
I think the coding will be pretty easy with the raycasting extension, although it might be a bit laggy-er because it would have to generate a wider FOV to fully surround human vision.
In conclusion, I think its possible, but it will take a long time to complete, probably will require knowledge of code other than blocks, a decent PC, and money.