I agree with Terry and others that you should be using a coarser blade. I have done this many times with both band saw and power hacksaw, I would also not bother tack welding the ends, you might be gettting vibration between the rods, you would be much better by clamping the stack both in the work vice,and by clamping top to bottom, that is how we used to do it in a production situation.
I would also try to stack more rods in at each cut, and stack them nested rather than square, So you start with say 4 or 5 rods on the bottom layer then 1 les in the next layer then back to the same as the first then 1 less, try to create a block that is the same hight as width, use a piece of scrap wood or hard rubber aginst the moving jaw of the vice and the same on top of the pack with the top to bottom clamp, this will elliminate any irregularities between rods. Choose your blade, the coarsest possible for the pack size, speed and feed as if the pack was solid, use flood coolant and if not possible use some air to blow out swarf from between the rods
Like so. This will give a more continuous cut and even load on the blade.
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Make sure the pack is clamped tight both horizontal and vertical.