Where is the Church in the world today?

The answer to your first question is that the Church exists with those traditional Catholics who maintain the faith whole and inviolate and do not compromise with heresy or the apostate Bishops.

St. Athanasius: “Even if Catholics faithful to Tradition are reduced to a handful, they would be the true Church.” Fr. William Jurgens: “At one point in the Church’s history, only a few years before Gregory’s [Nazianz] present preaching (+380 A.D.), perhaps the number of Catholic bishops in possession of sees, as opposed to Arian bishops in possession of sees, was no greater than something between 1% and 3% of the total. Had doctrine been determined by popularity, today we should all be deniers of Christ and opponents of the Spirit.” Fr. William Jurgens: “In the time of the Emperor Valens (4th century), Basil was virtually the only orthodox Bishop in all the East who succeeded in retaining charge of his see… If it has no other importance for modern man, a knowledge of the history of Arianism should demonstrate at least that the Catholic Church takes no account of popularity and numbers in shaping and maintaining doctrine: else, we should long since have had to abandon Basil and Hilary and Athanasius and Liberius and Ossius and call ourselves after Arius.”