Do Reformed Leaders profess to have achieved the Unity of the Body of Christ?

In the 1800s there were movements which aimed at recovering the Unity of the Body of Christ, which movements separated from denominational allegiances to found something better : >Several movements originated around 1830, seeking spiritual renewal and purer fellowship. The Strict Baptists took shape as a distinct body; those associated with Edward Irving formed churches governed by apostles and claiming a restoration of the spiritual gifts and ministries mentioned in the New Testament (they were later known as the Catholic Apostolic Church); what became known as Anglo-Catholicism took shape in the Church of England; and the Brethren came into existence. > >Their earliest meetings were in Ireland (Dublin especially) and Plymouth (giving rise to the designation ‘Plymouth Brethren’). Their aim was to provide a fellowship in which all true believers could worship together, gathered round the Lord’s Table, and study the Scriptures without being divided by differing denominational allegiances. Brethren History.org None of these movements seems to have achieved their objective, the Brethren having formed several 'exclusive' groups and a loosely affiliated 'open' following which does not have the coherence that the original Plymouth movement sought. My question is whether the Reformed tradition feels that they have achieved what Brethrenism sought in the 1800s. Setting aside the clear distinction between Reformed Presbyterianism (which holds to infant baptism) and Reformed Baptists (who hold to adult baptism) is the Reformed movement as a whole, in the opinion of its Leaders, a suitable expression of the Unity of the Body of Christ ? I am not asking for opinions of individuals, I am strictly seeking what the *Leaders of the Reformed movement* express in regard to their own quest for the Unity of the Holy Spirit and for the Unity of the Body of Christ.