I think there is a minor algorithm oversight in deciding the amount of strength bonus when you equip or unequip chieftain's tunic. At first I got this tunic and I started increasing my wildcraft but my strength did not change, then when I unequipped the tunic, it removes more strength than it provided at the first place. Then I realised this could work in favor too.
-The strength bonus is given relative to your current wildcraft after a few hours when you equip it.
-When you unequip it the strength removal occurs again relative to your current wildcraft.
*** You can have less wildcraft while unequipping it and lose less strength than you had gained!!!
Here is a simple pseudocode:
Prerequisites : Have 2 wildcraft skill, obtain elven cloak and light of galadriel and of course the tunic.
Go to your home factions capital. Let us begin with a scenario which you have all three items in your inventory.

routine begins
Status : You have 4 wildcraft with the cloak and light, and X strength.
Step 1: Go to the throne room and move all three items into your chest.
Step 2: Leave the town.
Status: Now you have only 2 wildcraft the tunics removal hasn't effected you yet.
Step 3: Wait until you lose strength.
Status: Now you have X-1 strength.
Step 4: Get in the throne room and equip all 3 items again.
Step 5: Leave the town again.
Status: Now you have 4 wildcraft.
Step 6: Wait until chieftain tunics strength bonus effects
Status: You get 2 strength bonus from the tunic and you have X+1 strength.
routine ends

Repeating this is how I got to have 63 strength. I believe the developers got what is going on at the first sentence. I think this should be fixed.