Normally it goes like this:
Enemy pod spots you -> That enemy does his movement action -> Rest of pod all do their respective movement actions simultaneously -> Either Green or Yellow reaction actions trigger -> Player's turn.
If you have a soldier with Solace on the battlefield it instead goes like this:
Enemy pod spots you -> That enemy does his movement action -> Next enemy in the queue does his movement action -> Next enemy in the queue does his movement action -> Next enemy in the queue does his movement action and so on until there are no more enemies left in the pod -> Either Green or Yellow reaction actions trigger -> Player's turn.
This happened in both my own game and JoINrbs' game. He was the one who suggested that Solace was the culprit because that was the only thing that had changed for him. The same applies to me.