Maybe a couple workaround-type strategies for you.
Using the Superstore in the attached .twbx (v10.5), Sheet 1 shows how Sales by Date order typically would appear. Sheet 2 shows with the date headers hidden, and "Show Missing Values" unchecked from below the x axis. In the format menu, the column dividers which separate date periods have also been removed. The final product is Sales by Date without corresponding interval gaps for missing values.
Is there another field you can use to order your data (Sheet 3)? If you remove your dates, you could manually order your data points (depending on the size and breadth of your data).
OrdinalSample.twbx 1.2 MB
I appreciate your help. I'm getting an error when I try to open your workbook, though. I think it might be a version issue. Could you possibly share a 10.2 version?