1) There can't be two files in the same directory with the same name, so I think you've misstated there.
2) The sheet IN those files can be the same name and can be renamed prior to import, no problem there.
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'WORKBOOKS TO SHEETS
Here's a macro for collecting data from all files in a specific folder. This version copies the sheet in as a whole.The parts of the code that need to be edited are colored to draw your attention.
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That should get you most of the way there. The one tweak based on your goal to have no formulas in the copied sheets....this section:
Possibly change to this:
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