I don't think we do. The reason is that Scripture more than adequately supports the bodily resurrection of Jesus Christ. All you have to do is read the four gospels as well as the epistles to know that Christians have ALWAYS believed this. In fact, Paul says if Christ is not risen, then we are still dead in our sins and are of all men most miserable. On those major tenets of our faith, there is no ambiguity in Scripture. Anyone who claims to disbelieve in the resurrection of Christ is NOT believing in the Christian faith. So, no, we do not have to accept such lies as equally valid to the truth. The truth remains the truth regardless if anyone accepts it.
Now we get to the essence of the argument. The Gospels, particularly St. John, tell us that those who believe in Him will have eternal life. Assuming for argument sake that Bishop Budde believes in Jesus (albeit it with great error with respect to Catholic teaching) because her reason assures her she is right is she saved? If not, is it a matter of the degree of belief or a matter of the degree of error?
Peace be with you