Let's say you build your own data center, buy the real estate (because a landlord could be pressured to cancel your lease), purchase all the network equipment, and hire your own full-time employees.
You still need to lease an IP block and a fiber connection from a carrier (like AT&T, Century Link, etc.). Couldn't they deplatform you too? Is there any law that says AT&T etc. cannot refuse service? Otherwise, is there any way to get an indie data center on the internet without going through any other company?
Every other utility seems to be regulated. For example even if you have a Confederate flag or a picture of Stalin outside your house, the local electric and water companies are not allowed to turn off your service as long as you are paying the bill.