What she's up to
It seemed like someone was planning an infiltration mission on the same ship that he was going to. Lex didn't want to interfere with the war. Not only did it have nothing to do with him, but he had no understanding of the story behind it either. Was there a specific person who was in the right, or was everyone just circumstantially or politically motivated?
Regardless, Lex had also decided to stop getting involved in others problems. He was running an Inn, and while on the surface it seemed like he had the power to help others, in reality he was just creating more problems for himself.
Lex looked at the camouflage ship and estimated that it would take it one to two hours to make it to the moon shaped ship. It was best to get ahead of it. If they caused a ruckus on the ship, it might be harder to find Liz.