Peter unknowingly taught and lived contrary to the ultimate reality / truth of the Gospel--as Paul says, "My conscience is clear, but I am not thereby acquitted, for it is the Lord [the Word of God] Who judges me." So, also, Peter's conscience was clear, and we see this dynamic permitted in Romans 14.
Nevertheless, what this means is that even if you wanted to say you were Peter's successors, the possibility is left open that you teach contrary to the ultimate reality and truth of the Gospel without knowing it--and if someone knows better than your clear conscience permits, they are not constrained to adhere to your teaching which is done in clear conscience, they are constrained, rather, to hold to what they know is true with their clear conscience.
Again, you don't use logic, only "my Church says so", so I don't think I'm talking with a reasonable person.
Again, I only granted your claim to be "Peter's successors" (if such a thing exists) for the sake of argument, but I don't actually grant it--I have known God without you, and God has transformed my life without you, so this idea that I have to obey you, or else I can't have eternal life (know God Jn 17:3) is actually hilarious to me. Also, there are hundreds of millions of believers in the world who serve God through Christ, and you deny they are saved because they don't listen to you. I can't be bothered with this mess.
You really seem like a joke--"You can't know God without us! We declare it!" It's just too late--we already know and serve God!
And again you teach errors (eg, Mary as New Eve), so, no, I'm not going to join error.