This would be fine you just have to be smart about your exercise selections. You know some of your weaknesses already: slow bar speed and limited power. This is probably going to make you weak off your chest when you bench, slow off the floor when you pull, and weak out of the hole when you squat.
Doing dynamic work and picking max effort exercises that work these areas will do nothing but help you. Being honest with yourself and doing exercises you suck at are key to progress using Westside.