Why on Earth are you still sitting there wondering what it will take to restore this marriage? I honestly dont know what else to say to you. Your marriage is over. Done. There is nothing to restore. At this time your W is NOT interested in rebuilding with you yet you sit there and waste your time and energy wondering how to restore something that is long gone. Again, taking away from restoring YOU.
I would like you to remember how frustrated and invalidated you felt about 2 months ago when your W did not approve of your apartment choice and was very vocal about it. You felt she was not respecting your choices about where to live and how to spend your money. And what happened today? You did the SAME thing to your W about the vehicle. You invalidated her choices and offered her no support. You again tried to control things with HER car just as your W did with YOUR apartment hunt. It didnt feel good when she did that to you and I am sure it didnt feel good to her today.
The two of you need to stop this power struggle. Its unhealthy for you and for your children.
If you are concerned about finances and major purchases it is very simple to have a document drawn up and notarized during this time of limbo that spells out exactly who will be responsible for what.
Restoration and detachement, at the stage you are stuck in, do not go hand in hand.