Yes, it is definitely a cost consideration if you have someone do all of the work for you. That is a significant expense.
Yes, bike tires and maintenance parts cost money, but this pales in comparison to the cost of owning and maintaning a vehicle.
Based on the parts list you mentioned, you either have a low quality bike or are somehow abusing it (or perhaps had an accident). Those parts should be among the most durable. Typical maintenance items SHOULD be tires, chain, brake pads, basic cleaning and lubrication, and that's about it. Cogs/chain rings typically need attention after 10k miles or so, depending on the quality and materials. Cables last a very long time if installed correctly (and of good quality).

Using reasonable quality items, your annual bike maintenance should cost no more than $50-$175 in parts (depending on the quality of tires you choose) plus labor (which is free if you do it yourself). That's pretty damn cheap, if you ask me.

Ways to help make bicycling as cost effective as some of us "claim" it can be:
- Learn to wrench on your own bike. It's easy and rewarding
- patch tubes. Unless I get a tear or valve stem failure I patch my tubes many times before throwing them out
- water is the best hydration you can get for your money (many places, good water is still free)
- put a little extra money into good quality tires with adequate puncture protection

I build and maintain my own bicycles (well, except the frame itself) and, while not free, it is certainly not expensive IMO.

Hondas are among the best cars to own from the maintenance and cost per mile, so well done, there.

As with any new endeavor, the cost to get properly "set up" for bicycle commuting is paid up front, but very quickly moderates after the first year.

Ride on!