Be aware ! I think that is not as simple as seems to be.
This 2000 tables should have something that make the difference between each other; maybe Dates, maybe Names... something must be.
So, in order to maintain the referential integrity, you need (at least) 2 tables.
Post 2-3 "DBs". Keep only few records in each table (I've understand that each "DB" consist in a single table). Replace sensitive information if necessary. Use Access 2003 version.