He may have acted a little rash to initiate this battle with Elijah in public, but that still didn't change the fact that his objectives were the same.
"I see. I can understand what you mean, but that doesn't mean that I would immediately see things from your point of view. You can't expect me to have my life threatened and still pick a side that would put it in a pipeline" Elijah said as he knew the reason why he made his choice.
Not because of being a heroic individual who would put his life on the line for a group of people he barely even knew.
Even though they gave him food and shelter, it was still decided on mutual benefits, and now it had come to the point that both parties needed something from him, whether it was his skills or strength.
If he even thought for a moment about disregarding his life to fight for the justice Jack stood by, then he would be making a mockery of himself as a fool.