does anyone know what exactly they are jamming? if a satellite spies on cellular and wifi activity, can you directionally jam it on that spectrum without causing collateral?

if it's an active frequency hopping radar can you react in time to ruin its image?

can a ground based laser track it well enough to dazzle its optical sensors?

Most satellite signals are high frequency, but low power (it's amazing how little power you need for a LoS radio signal). So generally they're easy to overwhelm, especially as GPS receiving antennas tend to be multi-directional. GPS transmits on several fixed frequencies and is relatively bitrate, too. The military signals are apparently more robust, but full details are more scarce.