First of all, while the original poster is absolutely relating her perception of the truth, my wife and I of 27 years (tomorrow) do still argue sometimes. When we make up, it often comes out that there really two sides to every argument. We hear threats in each other’s words that aren’t necessarily there, or at least we here them in an exaggerated manner. Only when we talk long and hard can we get through difficult issues. Ultimately, the solutions that work best for us are always compromises that involve some sacrifices from each of us. Thus, I would be looking for the compromise that is most sensitive to your husband, but still allows you to get what you feel God wants you to do. I don’t know what precisely this might be. Ultimately, you need to figure out what each of you really wants and why you want it. If your husband is a good man, and admittedly he does not sound like it from how you portray him, he will want you to have the minimum you need to be happy and will be willing to give in order to make you happy. But you must be willing to do the same. Thus if he really wants you and your children to attend an Anglican Church forever, fine, agree to do so, if he will allow you to also convert and attend a Catholic Church. There is no rule in either church preventing you from attending a service elsewhere. yes it would be time consuming, but it might be a compromise you both can live with. If you propose a number of real serious compromises, and he rejects them all, then ask him to propose compromises that would allow you both to have what you each believe is right. Try attending an Anglican marriage encounter weekened and discuss the issue there. At least the Anglican priest will force you both to fairness and honesty. If your husband rejects all of your serious compromises, and then refuses to provide any of his own and rejects attempts to bring in others to help find one, then I suspect he may be acting childish and only then might it be time to see if he is bluffing.
Start attending both services on your own. Let him see how that works for you. Prove you can be an even happier better wife attending both. If that doesn’t persuade him, then maybe you will need to convert on your own, but please, for your marriage, make sure you are trying to see his side as you try to push him to see yours.
Good luck. My wife and I will pray for you as well.