I believe what gave Raphael the strength is Jose Anglico's fighting spirit within him. It gave him the courage to lie to police no mater what happened. Anglico's Spirit gave Raphael the strength to lie although he wet himself and had a accident and dangling out a window, he still had the strength to lie to the corrupt police with their aggressive looks and threatening speech. Raphael knew that he had vital information that the police don't know so he couldn't afford to die but he took the risk and wound not give in.