Climate change is having and will continue to have significant effects on our physical infrastructure, especially in the coastal areas, areas prone to flooding/drought, and wildfires.

But I don't see data centers/internet/power being an issue. Data centers are already globally distributed and load-balanced. Internet is near-ubiquitous, with growing wired, wireless & even satellite options. Power generation from renewables, along with storage, have been growing at an accelerated pace even despite (or some say because) the pandemic.

Also, an off-grid solution is very feasible: I can easily imagine a near future where I have my "smart home" running on a local Alpaca instance, being powered by my solar roof.