I doubt refusing to pay taxes is the answer here.
Personally, I believe the best response is for the birth rate to tank in these states over the next few years and for women who want to build and raise families to not do so in these states.
Give your husband an option. Either one or both or you get sterilized or you agree to find work in another state. When you turn in your notices and collect your kids records for schools they'll ask you why you're moving/leaving. Make a point of stating to EVERYONE it's because it's no longer safe to be pregnant or raise a family in that state.
Frankly, I would be prepared to unpartner with a man who refused to either move or get a vasectomy. If he's not going to have my back when my rights to bodily autonomy and my life is endangered, he's not a good enough partner.
My daughter and her friends applied to some colleges in states with bans. When they got accepted, they sent a letter saying they had chosen to attend a university in a state where they would feel safe and want to be pregnant and raise a family in.
Double up on birth control and make sure you know how to use it right. Make an abortion plan and start setting aside funds to get care should you need to. No sex without a condom. Period. Ditch the hook ups and invest in some vibrators. Stop dating.
When states and companies in those states can no longer attract top talent or grow their own and the money dries up, they'll start singing a different tune or the dumb fucks can just die on that hill. Good riddance.
We can break them in 5 years or less. Until they literally start holding women down and forcing insemination, we have the last word. Frankly, even if they did, we still have the last word because we don't have to agree to raise state rape babies and there are always ways to abort. For many, death is even the preferable option.
We need to draw a huge line in the sand and dig in. You take us down, you're coming with us so back the fuck off.
Our lives and our bodies are not political points or religious dogma for men to bicker and seek status over.