You can check for coil bind before you install, either wooden fixture on drillpress or lathe.. or a screwthread to push it.
It may be tricky to re heattreat at home..
To cut, cut as square as you can, bout 1/4 inch longer than you want to end up..
Thin cutoff wheel or chopsaw should work. You can then heat and reform the last coil so it looks more like the end used to. the re square up the end on a grinder or sander.
Unless you get this real good, best to cut upper end of spring as pushing against steel cap will do less damage than the aluminum leg..