You are overstating the extent to which vaccinated individuals are likely to be infectious. But more importantly, you are ignoring the importance of the network effects involved.
For x to get to z through y, x has to infect y, and y has to infect z. If probability of infectious breaktrhough and a contact event is 20%, the probability of it getting to z from x, is .2^3 = 0.008. And yet, a 20% is really high-end estimate of that likelihood. You need to both have a breakthrough infection and be in the vicinity of others for potential transmission.
https://www.cdc.gov/measles/vaccination.html
Your other numbers are just made up and not worth discussing.
2. The measles is way more contagious. It's dreadful for you to simply ignore that when it matters so much to the calculations.
I think this study tries to address this. But haven't had time to read through
https://spiral.imperial.ac.uk/bitstream/10044/1/90800/2/reac...
Vaccines are highly effective at preventing deaths and I do encourage vaccination, but vaccinated people can still catch and spread the virus. They are probably less contagious on average, but unfortunately that isn't enough to control community spread.
https://www.nature.com/articles/d41586-021-02187-1
https://www.nature.com/articles/s41586-021-03944-y
Acknowledging reality isn't being a doomer. Don't engage in magical thinking.