if I recall, did not receive one vote from a Democrat. The Republican Party passed it on its own.
You recall incorrectly. According to Wikipedia, the final votes for the 1964 Civil Rights Act were
The Senate version:
Democratic Party: 46–21 (69–31%)
Republican Party: 27–6 (82–18%)
The Senate version, voted on by the House:
Democratic Party: 153–91 (63–37%)
Republican Party: 136–35 (80–20%)
By region
Note that "Southern", as used here, refers to members of Congress from the eleven states that had made up the Confederate States of America in the American Civil War. "Northern" refers to members from the other 39 states, regardless of the geographic location of those states.
The House of Representatives:
Northern: 281–32 (90–10%)
Southern: 8–94 (8–92%)
The Senate:
Northern: 72–6 (92–8%)
Southern: 1–21 (5–95%) – Ralph Yarborough of Texas was the only Southerner to vote in favor in the Senate
I’ll admit I was surprised by the number of Republicans supporting it back then, since today they appear to have absolutely no interest in doing anything to help anyone other than the top 1%.