Cycling hats, hanging frames on the wall, pbr deals, ect just seem gimmicky and pretentious. People don't need to be reminded that they like to ride bikes.
The best thing you could do is just make it a good bar. Nice decor, atmosphere, staff, products, and location are all the most important things.
If you want to attract a cycling crowd, just make sure that there is ample bike rack space in a well lit area. If people want their bikes worked on, they are either going to do it themselves or take it to a mechanic. Not a bar.