I think this might be a littlle easier than you realized -- you can do a union between the two temp tables and call it done:
-- Here is the contents of your final table ...
Select Col1 Col2 Col3 Col4 Col5 Col6 Col7 DSTRecID Country
from DBO.PROC1_TBL
union
select Col1 Col2 Col3 Col4 Col5 Col6 Col7 DSTRecID Country
from DBO.PROC2_TBL
-- You can insert it into your final table as:
Insert into dbo.final_table (Col1 Col2 Col3 Col4 Col5 Col6 Col7 DSTRecID Country )
Select Col1 Col2 Col3 Col4 Col5 Col6 Col7 DSTRecID Country
from DBO.PROC1_TBL
union
select Col1 Col2 Col3 Col4 Col5 Col6 Col7 DSTRecID Country
from DBO.PROC2_TBL