I appreciate your passionate defense of the Catholic faith. I personally choose to assume a different perspective regarding the meaning of ‘church’. I align myself with Pope John Paul II who expressed:
This affirmation of the Savior’s “uniqueness” derives from the Lord’s own words. He stated that he came “to give his own life in ransom for the many” (Mk 10:45), that is, for humanity, as St. Paul explains when he writes: “One died for all” (2 Cor 5:14; cf. Rom 5:18). Christ won universal salvation with the gift of his own life. No other mediator has been established by God as Savior. The unique value of the sacrifice of the cross must always be acknowledged in the destiny of every man.
For those, however, who have not received the Gospel proclamation, as I wrote in the Encyclical Redemptoris Missio, salvation is accessible in mysterious ways, inasmuch as divine grace is granted to them by virtue of Christ’s redeeming sacrifice, without external membership in the Church, but nonetheless always in relation to her (cf. RM 10). It is a mysterious relationship. It is mysterious for those who receive the grace, because they do not know the Church and sometimes even outwardly reject her. ... In order to take effect, saving grace requires acceptance, cooperation, a yes to the divine gift. This acceptance is, at least implicitly, oriented to Christ and the Church. ... Religions can exercise a positive influence on the destiny of those who belong to them and follow their guidance in a sincere spirit. ... The Church does not exist nor does she work for herself, but is at the service of a humanity called to divine sonship in Christ (cf. RM 19). She thus exercises an implicit mediation also with regard to those who do not know the Gospel. (All Salvation Comes through Christ; General Audience May 31, 1995)
Myself, as a person struggling to become a devout Catholic, cannot feel peace in my soul while holding the view that our Lords mercy is restricted solely for those who are Catholic. I believe that our God is much, much greater than that.