Well, I don't have a male eclectus OR an illiger's macaw. However, I have been around both and what a tough decision! They are so different in personality, looks, noise level, etc.
Eclectus: personally I love their look. I am so drawn to their hairlike feathers, once you see them in person you won't be able to take your eyes off. They are just the most beautiful birds I have ever seen. My female is definitely not quiet unlike what most websites say about eclectus and their quiet disposition. However, I am working with her on it. So please be aware of exceptions. I just so happened to come across one

she also LOVES toys and clicker training (also an exception to what most say) She isn't as animated as an illiger's and will rarely be half as hyper as any of the mini macaws. But personally I love it, she is so chill and I can eat, study and work around her without being too worried (of course under supervision). People call eclectus boring, but their personality is very calm, soothing and just an absolute joy to have. I must warn you, that they are not known to be the most affectionate birds, although they do share love in other ways. If you have a quiet, calm and steady home I recommend the male eclectus as they do have a tendency of getting stressed in a loud/busy environment.
Illiger's macaw: where do I begin! They are just the most animated birds I have seen!! Much more hyper and energetic than conures IMO. But they are just the cutest little ball of energy. Illiger's have been known to be a bit more nippy than the male eclectus (which are more submissive birds), however all birds can and will most likely go through a nippy stage anyways. Macaws like any can and will be loud, they will do their flock calls and shrieks of joy through out the day (says the girl with one extremely loud eclectus :54

. I love the color variations of the illiger's, they are much more colorful than their other mini macaw cousins (especially with the little red on their forehead of belly:09

. I think overall what gets me the most with the illiger's are their personality. They love to dance, swing, do tricks and overall enjoy making their parents smile. Who could resist these little fellas.
In the end, you and I can compare these birds as much as we would like, but we both know they are amazing birds that will make you happy either way no matter what you choose. What matters most is which bird is right for you and will thrive in your home and your living situation. Good luck and keep us posted on your final decision!
Oh and I also hope that one day I will be able own an illiger's macaw of my own :09:, they are on my wish list of birds I'd love to have one day.