I think you are dramatically overestimating it.
It's one thing to vandalize some cameras or a driverless car in your neighborhood.
Traveling to a large, potentially secured facility to commit terrorism is on another level.
It being inside a building it is also much more difficult to damage and the consequences would be far greater.
I'd think one would need strong motivations for such actions.
A protest seems much more realistic, but I did not even hear of protests at data centers yet, only a small one at OpenAI headquarters.