I don’t see the conservative message in Forest Gump.
The conservative message in Forrest Gump was when he was in Viet Nam. His platoon gets wiped out and his first instinct is to run away. But then he realizes his buddies need him. He runs back and gets Lt. Dan and the others. Unfortunately he brings back Bubba too late. Also, there are - I think - two times in the movie when he sees Jenny being abused and without thinking about it, he starts wailling on the abuser. Those are conservative, Christian values. To help and protect the weak and sick.