I have little doubt that your solution will hold water with those folks who are determined to see Jesus their own way. Catholics have a few dogmas and can believe what they want for the rest. We Catholic GENERALLY believe the Church teachings about Christ since they've been around for 2000+ years and have some historical validity.
Non-Catholic Christianity hasn't been around for very long and the fact that there are so many different denominations shows the variety of beliefs and practices.
This is only an observation, of course, not a condemnation. I thought it interesting.
https://en.wikipedia.org/wiki/List_of_Christian_denominations_by_number_of_members
Best we can do is pray for them that their eyes will be open. Often, it is difficult for people to give up a belief they have held for all of their lives.
And prayers up for Holy Mother Church.