Tristan Celayeta gave you a good answer. You can't go to the "site banks use to check equifax morgage on others." as you stated. But, if you go to the web site Tristan referred to, you can obtain info like the banks have access to.
I'm not certain what you're asking but... you can receive a free credit report every 12 months, http://www.ftc.gov/bcp/edu/pubs/consumer/credit/cre34.shtm - check it out.
If you want to run a credit report on another and you're qualified you'll find contact info.