Is there any reason why using the same wp-config file might not work in MAMP?

You will need a different database for each site, or at least a different database prefix. In either case, you’re wp-config.php file will be different for each site. I don’t see how that copying that file verbatum will work.

Based on this comment:

Update the config file to be exactly like the current version that i
have on MAMP (Site1) and when i go to that site i’m able to get onto
the correct first page but then when i go into other pages i re-direct
to the Site1 interior pages

I am guessing that you have WP_SITEURL or WP_HOME defined in that wp-config.php file. That is why you are getting the strange redirect.

Alternately, if you are trying to share a database or use two sites with the same prefix, the value in the database is going to cause trouble. It can only be set to one site or the other.