Short answer, you want to move forward
as a family. And the way to move forward is to
be a leader who the rest want to follow; and to
love your partner in marriage/parenting into walking comfortably by your side because she's learned to trust you.
So, no, you don't want to make such a move a matter of legality. Just from the brief description above, I'd say it doesn't appear that less damage would be done by pushing for this issue to be resolved ASAP. If you desire to obey the Lord in things religious and churchly, PRAY that God will open the door in his direction.
Your wife and kids would do well to discover that Reformed and covenant theology has made husband/dad a better man and better Christian, and not just someone obsessed with a clever new way of doing the faith-merry-go-round. He has learned to love God and Christ better by means of this clearer picture he has gained; and those around him are thereby blessed.
Do you have family devotions? If not, I recommend instituting them. And use the moments entrusted to you for bite-sized teaching on Reformed theology, and on covenant theology. It can be done; it takes time; it's worth the investment. Try using these 4 volumes to tell the Bible's grand story with wife and children:
https://www.amazon.com/Promise-Deliverance-Creation-Conquest-Canaan/dp/0888150024. You are on a
hermeneutical path--not simply a reorganization of some biblical facts--which leads quite often into a happy reappraisal of Christ in relation to you and everything else that you can see.
See how that exercise goes. Pray to find a Christ-centered, Reformed-minded church nearby. Asking God to draw your wife into the riches of a Reformed soteriology is something you probably need answered, well before raising the issue of baptism and all the rest.
Understand that some people who go off their former tracks/ruts (as you seem to have) end up unstable; and by following a pied-piper on their "theological journey" they end up passing right through suitable pasture into realms of false promises of security. That's why you need the help of belonging to a trustworthy church with a reliable ministry.
Back to the baptism-matter once more. I like to describe infant-baptism as a
conclusion, not a reason for action. Baptizing infants is what one would expect, given a certain theology of baptism. Establish the theology as biblical, and the practical conclusion is natural. But what I have seen is people treating baptism as little more than a skin-deep practice. They do not understand it is a plant with deep roots, far more than the surface reveals. Baptism is an anchor on a long chain; and if one is precipitously cut from his moorings by a sudden "switch" on a matter he thinks of too simply, he may be surprised to find himself adrift at sea. You will need that chain when you have found a quieter anchorage.