For a laser system to shoot mortars, it seems like you need to solve some tricky problems and create lots of new technology:
1. Aiming
2. Battlefield portable and maintainable laser
3. Portable power supply for battlefield laser
4. Train new disciplines for handling and repairing the lasers
Why not design an interim system that has fewer problems to solve up front so you can deploy sooner but keep working towards a whiz bang solution in the future when it's cheaper?
For example, if they replaced the laser with a rifle, they could cut out #2, #3 and #4. Use the same aiming technology, calculate for leading, and have a automated sentry rifle fire three round bursts at incoming rounds to detonate them at altitude. A laser system would eventually outperform a rifle based system, sure, but by making the mortar defense incremental, you can reduce the lead time to getting a working system out in the field.
Advantages:
1. Faster deployment
2. Less training needed
3. The technology can be applied to future systems
4. Results in hand demonstrating the soundness of the aiming technology would make it easier to continue getting funding versus a 10 year program that has to multiple administrations.