But not in the bits in-between, apparently. Look at the map - from Heritage's Foundry. The states in blue are not only opposed to ObamaCare - they've all joined the lawsuits to overturn it. And even in many non-blue states, Obamacare is unpopular among the voters (Kentucky, West Virginia...), even if the governor declined to join the litigation.
It really shows how narrow Obamacare's support is. Strictly a one-party creature, it is only in the most loyal Democrat regions where the law has not actually inspired sitting governors to sue the federal government.