I'm going to tell my housemates to pay for the replacement tv me and my significant other bought.
Have you thought through how you're going to ask them to pay for the tv?
Yes, I am sure - I am going to be so perfect about it
If you paid for something that other people want to keep, it's okay that you expect them to repay you for the purchase. If you paid for it, it is considered yours.
I am not going to talk and I am going to threaten them with a phone call to cops and a formal statement about it
Getting the police involved sounds extreme. Your roommates might be angry to find out you went to the police just because they didn't buy your tv. They'd feel like you're being incredibly unreasonable.