This is one of several reasons why I use List View instead of table view for most "public" layouts--keeping table view mainly as a debugging tool for looking at lots of records at one time.
You can design a layout so that when viewed in list view, it will look nearly identical to table view but without giving the user the ability to modify the columns shown or click a + button to add a new record. Of course in any layout, your user can create a new record with the keyboard shortcut for new record unless you take steps to disable this option and I would expect these measures to also disable the + button when in table view.
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Apparently this is the only solution. I just don't see why
Filemaker added this feature that can cause so much trouble
when displaying in Table View.