Well, I guess you could make a big table with duplicates of the field names in all the different tables, and import data to it, but I wouldn't advise that, as it wouldn't be much use. Instead, I would recommend doing the export separately for each sheet, matching the column names in that sheet with the field names in the table whose data was exported to that sheet. Then you need to determine whether you are updating an existing record, or adding a new record, and use Edit for updating and AddNew for adding new records.
If you are careful about naming objects, you might be able to use the same procedure for doing all the exports, with an argument for the table name, and iterating through the columns, writing data from each to the same-named field in the Access table. This would take some time to set up, but would be more efficient in the long run.