Steve has to face up to his past, as Oliver faces up to his.

as Oliver faces up to his：是方式状语从句。“像...一样”。方式状语从句可以省略重复的成分。但是，如果与主句的成分不重复（本句的宾语不同），则必须是完整的句子。as 充当从属连词，不作成分。

例如：

I must study English as you do  ( = as you study it。do 替代 study it ).

We built the house as you designed it. （不省略成分，也不能省略成分）