I am married to a woman who worked for a cycling advocacy organization for about 10 years, promoting commuter cycling. In her workplace, driving to work was seriously frowned on (it was a big 'scandal' when it came out that one of their staff was secretively driving, then hiding her car a few blocks away and walking into the office).
So my perspective is somewhat different. I've been a cyclist first/driver second since my first tank of gas, but one of my recent coworkers was very dismissive of the notion on every level (ironically, he was FIRE and working to pass the time). Most of his identify was caught up in being a 'rich guy', so the idea that he would ride anything less than a luxury car was absurd. I just didn't talk to him about it. My other coworkers are all either cyclists themselves or have been in the past, so there is just no issue.
To be honest, I'd say that one of the biggest benefits of a mustachian perspective is in learning to ignore messages about how you should consume or spend, and focus entirely on what You value and wish to consume. Cycling is its own reward, but maybe next time you find yourself in a financially 'impressive' position as a result of your many mustachian choices - which include cycling - you might make a point of directly linking the two.