Putting the 24” radiator so the fill cap is exactly centered in the car is the best way to mount it, as you did. The stock battery tray will fit if the obsolete mounting bracket is cut off. A stock bsttery will fit, but you must unbolt the radiator top mount and slide the radiator 1/2” to the side to get it in, then put radiator back centered. An Optima battery with rounded corners eliminates the need to move the radiator over. The smaller lithium battery should make it even easier.
Are they a lot lighter?