I don't see where which "stock" is being held, was ever addressed.

An ESOP is like a charitable trust. The ESOP would "own" some or all of that Corporation. The ESOP trust would not have partners; it has beneficiaries.

"Not sure if IRS will allow a LLC (except Single Member LLC) being created without any EIN and tax return filing???"

There should be annual 5500 filings.

It's time to seek professional guidance on this.