I pretty much agree with everyone else's comments here. Here's my $.02.

I understand the original argument you described, but IMO this is really a matter of the heart. Yours and theirs, not with the equipment you're choosing to use (your bike) or not to use (your car).

If you buy, ride, or drive fancy cars/bikes just to show off, I'd say that's foolish and asking for people to hate you.

If you are less fortunate and feel contempt towards the rich, chances are you're thinking of ways to end the rich person's fortune rather than improving your own. Thus, one remains in the poor mindset, hating those more fortunate.

The only thing I can have control of is my own heart and intentions. My philosophy is to be generous when I can and always considerate of others (with the knowledge that nothing I do can truly control other's feelings or perceptions of me).