How effective is probably classified. But 2kW is way too low. IMO, you need at least 10kW to have something fast and easy to use......
Thor is an old product, so I'm sure we can get a tad more than just 2kW output in a modern equivalent. Now to figure out how to bring it to the field in a survivable package. That's probably the bottleneck here.
One thing with mines is they are not a moving target and as mentioned mines would probably be “ engaged” ( is that the word?) at a shorter range so keeping the laser on target from closer range would seem to be a simpler exercise once the target is located. The mast idea seems to make sense.How effective is probably classified. But 2kW is way too low. IMO, you need at least 10kW to have something fast and easy to use.
I imagine an anti-mine laser could be mounted atop of a mast to have a better striking angle.
2kW could succeed in exploding IED's after an exposure of 10 or 20 seconds to the laser beam at a short distance. And even not in every condition (dust, rain, fog, etc).
The lowest power to intercept drones is 10kW. Of course, with drones, the distance is much longer. Other anti drone system are 50 kW. Raytheon develops system up to 500kW.