FileMaker Scripts can't be used to automate the design of a layout.
I would think that you'd need this button (an empty web viewer can also be used) in the BACK not the front or you won't be able to click on anything in the layout. Only way to make this quicker would be to set up a blank layout with this button and then use Duplicate Layout to create new layouts. You'd have to select the correct table occurrence context from Layout Setup | Show Records from before adding fields for each new layout if it's not to be based on the same TO as the one that you copied.
An alternative approach is to set up your data entry form with global fields for data entry. Then clicking save performs a script that "saves" the data by transferring the data from the global fields to corresponding non global fields. These can be fields from an existing record if you are updating a record and the script can first create a new record when you are creating a new record. With this design, you can leave auto-save enabled and clicking anywhere in the layout will not save data nor ask permission to do so.