Aside from the Windtalkers, has US military strategy ever appeared unique to its foes and was this due to its experience with fighting constantly with the Native Americans? I'm very curious because it seems like the US was created in a very unique environment.
The short answer is no, not really.
Connecting the use of Navajo wind-talkers to learned tactics from the Indian and Seminole wars is a stretch at best, and I'm not quite sure what you are getting at with this, could you perhaps elaborate? Given the relatively under-equipped nature of the Native Americans, US government suppression of the western tribes can be paralleled to other 'colonial' (for lack of a better term) actions the Europeans were conducting in Africa, at least militarily.
Now, if you're asking did their clashes with Native Americans during the great Westward expansion impact the strategies and and tactics of the United States Army, then yes, very much so for the latter case, especially where the US Cavalry was concerned.