In this respect there is very little difference between a NIMBY getting mad about a data center and getting mad about a new housing development that will make the area more crowded and use more water.
The only difference is that you yourself are mad about data centers. If you are a YIMBY generally-speaking try to see how the anger you feel about data centers is like the anger your opponents have about new housing, and let that empathy make you a more effective YIMBY.
It sounds more like you are saying YIMBY but imagining MIMBY (maybe in my ...) where you've just replaced those other guys making the decisions with your own cabal?
Relaxing zoning laws never meant throwing them completely out the window. It has always been a matter of pruning zoning rules that overly restrict land use to the point that minor deviation from the norm is impossible.