The FORCE test is a more all-encompassing fitness test than the basic push-up, sit-up, and run test, so I myself am preparing by doing a mix of functional, endurance and strength training. The more you lift, and the heavier you lift, the easier it'll be to lift those sandbags and your own body up a wall! And yes, as MedicTWO said above, muscular strength helps muscular endurance and vice versa. So yes, weight training will definitely help.
Stretching, swimming and even yoga and Pilates once in a while will help your body recover and strengthen your body, so these are all great exercises to incorporate into a training program. It's important not to overtrain during preparation, so having a varied training program that tests your body constantly in a variety of different ways (i.e. so as not to overwork/overuse certain muscles only) and also allows for rest and recovery will not only help your overall physical health, but will also reduce your chances of injury during the training program and even further down the road (i.e. Basic!).
Can't stress enough the importance of stretching. Most injuries happen out of nowhere because your muscles weren't ready!