Is he a pack rat or does he just keep what minimalist find unnecessary? I've been working on becoming a minimalist in some ways, but my husband has no desire to follow in my steps. I find the best way of dealing with it was dividing up what is his, mine, and ours. Then dividing up what is considered "ours" based on who really uses it. The kitchen stuff for example is considered ours, but since he NEVER cooks he agreed that I could minimize all I wanted in the kitchen. I am a pack rat when it comes to things the kids have made. I have boxes of paper the kids have drawn on. My compromise with my husband was to agree to go though it once a year and determine what was still important enough to keep. Try sitting down and writing out what you both own, and working on a compromise so he doesn't feel forced to follow along with something he doesn't like.
If that fails, remember he likely had these same behavior traits or something similar when you married him. Just because you do something doesn't mean you can expect him to change for you. I would love if my husband would become a prepper, but I know that the chances of that ever happening are slim since he wasn't one when I met him. Give and take. If it becomes a battle, ask yourself if it is really worth it.