I think that Ron has been saying one thing about LE in public and a different thing to Misty. I don't know whether LE was in on this or not. If one buys into the concept that he married Misty because he thought it was the only way he (or anyone) could get to the truth about Haleigh, then it would only make sense that he tell her privately and say publically what she wanted to hear. That's the only way this scheme would work.
What Ron was saying behind the scenes to LE is another matter, and we have no idea what was said between them. But, it sounds to me like he told them that he thought this was the only way to discover Haleigh's fate and that LE told him that his scheme stunk. I think he eventually realized that LE was right and his scheme wasn't working, so he gave up on it and divorced her. Now, he is saying he'll back off and let LE do their job and find his child.
At least, Pondering, this is how I interpret it. I think Ron was wrong to think he had a better way to handle the situation. He should have let LE do their job and he should have cooperated any way he could on their terms. I don't see him as having a sense of entitlement as much as him thinking he knew Misty better than anyone and so he knew better than LE.
The way he stated this was, IMO, a face-saving technique. Instead of saying, well, I failed at my try, so I'll step back and not get in the way of you doing your job, he said well, since you didn't like my technique, I'll let you have a shot at it! JMO.