In the House version:
Total members: 258 democrat, 172 republican
For: 152 democrats, 138 republicans
Opposed: 106 democrats, 34 republicans.
Total members: 67 democrat, 33 republicans
For: 46 democrats, 27 republicans.
Opposed: 21 democrats, 6 republicans.
It appears that in neither vote did more republicans vote for the bill than democrats, although it would appear that you COULD claim a higher percentage of republicans voted for rather than against.
But most of that is due to the democrats being stronger in the southern states, as you say.