No luck so far in joining the tables. Once I get a section looking good and try to join them, the cells shift again.
 
I did try converting the table to text, but I don't know if I can convert it back to a table easily. Each row has differing #s of cells, and I would have to convert single rows, or a few rows at a time. (If I convert it to a 1 column table, the resulting table looks ok in print and outline view)
 
I will try recreating the table from the start again, one section at a time, copying the text from the original Indesign document. I will check the outline view occasionally as I am working to see if I notice any issues. Once I have each section set, I will try joining them to see if it works.
 
 
Edit: After converting the table to text, I converted the first 2 rows to a single column table, then when I selected the text for the next row and converted them to a 5 column table, that row was shifted from the first 2 rows.

