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what is your opinion on ahead adapters?
Aesthetically they look shit, function wise they work and can make finding the right setup a lot easier. Additionally going Q/A will allow modern O/S stem and bars (31.8) which will probably feel stiffer. Personally i think it would ruin the look but have a browse here for some inspiration
https://www.lfgss.com/conversations/354751/
If the reach currently feels long then all the more reason to change the bars. You say the stem it too long but it looks bang on for that frame and you could probably shave 20mm reach of the bars.
Great first effort. If it were me the first thing i'd be looking to change are those bars to something more compact and less bulky looking. If you're thinking of changing the stem you can choose between 25.4 or 26.0 bars, there's a pretty comprehensive list of the latter here
https://www.lfgss.com/conversations/214488/?offset=525
If you do change the bars maybe try them first with your current stem to gauge what length works for you with compacts (current bars look looonnnggg). Get whatever clipless pedals you're comfortable riding in and for cages i'm a big fan of King stainless on neo retro builds
https://www.condorcycles.com/collections/king-cage