To merely destroy "space data centers", you need not have very advanced targeting technology nor space lasers or whatnot. Just launch a few things releasing little ball bearings or steel needles or something like that - and "poison" the entire orbit.

If all you seek is to destroy (how en-vogue...) then that's more than perfect; not just destroy what's there but also make sure that by virtue of what remains (debris) nothing will get re-built.

A single EMP would be enough without causing excessive space debris. It's not like someone will simply fly in and swap some hardware.