Actually, you don't have a Bassbar in that Bass. You have an integral 'Bar that looks like a Bassbar but doesn't act like one.
Years and years ago I had a Bass like yours and did the same thing. I fitted a new 'real' 'Bar and improved the Bass. It was my first and only Bassbar job. I restored a few Basses but didn't have the time so that was the only one I did. It came out good but once was enough for me.
With a real 'Bar, it will be slanted slightly and oppose the grain.
Read this from Jeff;
http://jeffbollbach.com/JB%20II/luthier_rant3.htm
The Bass should have slightly more low end than before and do not 'spring' the 'Bar. This actually causes the Top to sink at the ends.
Since the Top is off already, doing a new Bar makes perfect sense. I have had the 'Bars replaced on several of my restored Basses in the last 3 years. Two of the Basses have old Bars and no problems in that area so we left the 'Bar as is.