In truth, the only two differences separating the Anglicans from the Catholics has been Papal primacy, that hundreds of years ago, in very different times, was done for nationalistic reasons; and a difference, not of doctrine, but of culture.
The first difference is a debate between bishops, that can be resolved by bishops with little fanfare. But the cultural differences have value to both groups, and represent an opportunity for them as well.
In the time of the split, both Catholicism and Anglicanism were intertwined with politics and cultural dominion over their members. But this in many ways had a long term poisonous effect on both churches.
Today the Catholic church is degraded by “cultural Catholics”, especially politicians, who embrace the artificial social side of the Catholic people they represent, but utterly reject the core teachings of the church. They call themselves “Catholic”, yet they are not just secular, they are anti-Catholic, and despise the church and its teachings, while seeking to use it to keep power.
The Anglicans suffer just as much, at least in England, by being co-opted by the government, which holds their faith in contempt as well. Years ago, it was joked that when the prime minister was to appoint a new archbishop, he had a choice between a communist and a Muslim, for political reasons.
Anglicans have been humiliated for so long by the corruption within their faith, and the rejection of orthodoxy by a minority within their communion. But at the same time, outside of England they never created an “Anglican culture”, populated with pandering politicians.
So if the two reunite, in the process they would both be served by washing their hands of those who inhabit their churches to “use” them for their own purposes. The rejoined communion can then enjoy its orthodoxy unburdened by the heterodox, the atheists, and the unreformed sodomites.
It is not a grand gesture, just the insistence that to be Catholic, one does need to be Christian, and even affirm a belief in God, and interpretations as to what that means are not particularly open to debate or Hegelian synthesis.
As an ex-Episcopalian, I have always said that we ought to trade the short-haired mean 'sisters', all the Father Strum-a-Tunes, the lavender mob, the Maryknollers, and any Jesuits that won't publicly subscribe to the Creed and the Catechism, to the Episcopalians in exchange for any faithful Christians still remaining.
Then everybody would be happy, and Christians could be Christians without being bothered by the lunatics.