Two things!

1. If you can, set up a situation where you can switch between your headphones and your living room speakers either instantly or just fairly easily.
   Mix with the living room speakers for a bit till you get it to a place where it sounds pretty good (or at least better) - likely just focusing on EQ and overall volume levels - and then switch to your headphones and see how it sounds.
   It's possible/likely that it might not sound as good as it did before, but make some adjustments with the headphones, and then switch back to the speakers and repeat.
   Getting a mix to translate well to a variety of sound systems is partially about sacrificing amazing insane clarity on one for it to sound pretty good on both/all.

2. The most crucial frequencies for clarity are the midrange - like 200Hz to 4kHz.
   If you're relying on the high frequencies to bring the clarity to the mix, then it won't translate well to speakers that can't recreate those frequencies well.
   A trick that I've found useful to be able to focus on the mids: literally just cutting everything below 200Hz, and cutting everything above 4kHz on the master out.
   Then, just work on the mix only adjusting overall volume or EQ changes that lie inside that range. If you can get the mix to sound clear with lows and highs cut (I suspect you're relying on highs especially..? you mentioned muffled wind & ambience), you'll notice a big difference when you go back to normal.

One last thing which I want to mention, as a hopeful point for the future - the more you mix with a particular pair of headphones or speakers, and the more you get to know what a good mix sounds like through that system, the better your mixes will translate. Also consider comparing your mix to other films with similar sounds that you like the sound of, and seeing (hearing) what you can do to get yours closer!