It's a quirk of Wikitree that spouses dont show up in the public view
My husband does not show up on my profile in the public view either.
I think this could be that your tree is for YOUR family and not your spouses family - he has his own tree.
When I click on your ancestors button, and look at your tree, your private unknown spouse is recorded there as your spouse. But there is nothing from his tree.
Conversely if you look at his tree, you should show up as a spouse - but agaun nothing from your tree will show up on his tree.
It's probably a means just to keep the trees separate.
Oh and your children will show up as being attached to both of you on both profiles.