My wife and I just got back from our trip to WDW. We went to Galaxy's Edge twice, on our first day in our "Civilian" attire to feel it out, and then went back on our last day in our "Bounds"/Costumes:
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I did the simple Military Style jacket and Cargo pants, and my wife used her Rose Tico/Resistance Ground Crew style flight suit. No issues with Security or Cast. All the cast outside of Galaxy's Edge complimented our costumes and Security didn't bat an eye or say literally anything at the gate (but maybe because this was during Halloween and Mickey's Not So Scary Party?)
We did get some nice interactions with Chewie and the Resistance Spy, but the rest of the Cast Members, the normal shop employees and such did not seem to notice or treat us any differently from the folks in "normal" clothes.
When Chewie saw us he roared at me and came over and messed with my hat, and his handler was "translating" that they didn't recognize the unit logo on my hat (It was a personal patch for my Friend's Scout Trooper) and offered to recruit us to the Resistance.
VI, the Spy, and I developed a rapport over the course of the day. I initially tried to "rat her out" to the Stormtroopers while they were patrolling and she was lurking around the crowd behind them and then to First Order Lieutenant when he was leading the Patrol later in the day, but the TKs ignored me when I told them I saw her lurking by the garage and the FO Lieutenant basically told me I shouldn't speak to him unless spoken to first, I would be an embarrassment to the First Order, and not to interfere with the First Order's Operations on Batuu. Neither the LT nor the TKs made any comment on my clothing or asked any questions about our affiliation with the Old Empire of the First Order. So later, when we were sitting by the Fountain and Vi walked by and stopped, stared at me and made an "I'm Watching You" gesture, as she had over heard me trying to tell the FO that she was behind them, I told here we were Cool now because the LT was a "Moof Milker" and she came over and was super friendly and "Recruited" us as Double Agents.
I do get it, the Resistance are the Good Guys, and Disney probably wants to reinforce that by having all the Resistance Face Characters be super friendly and interactive and the FO characters be cold and unfriendly, I just thought it would have been a little more "Fun" if the First Order were more inclined to have a more Positive interaction if you had on Imperial gear and especially if you actively tried to assist them, even more more so when the LT gives that big speech before his patrol about "Loyalty will be Rewarded!"