I don't wish to rain on your parade, but thinning down the sear spring will not make such a significant reduction in trigger pull all by itself. You can thin/reduce that spring all you want and it will only result in 1/2 lb to at the very most a 1 lb reduction in trigger pull weight and the latter pretty much only if you are using an Original Sear Spring from the period. Repro Sear Springs don't give the resistance the Original Springs do. Something else has to be going on because normal trigger pulls for M1861 Springfields are normally 10 to 12 pounds, IF they even somewhat closely follow the original lock design.
BTW, when I write about trigger pulls, I'm referring to using NRA approved trigger pull weights to check. This is what the North South Skirmish Association uses as well as all the major shooting competitions that have minimum trigger pull weight requirements.
Gus