No - you just choose to ignore John 15:6, where Jesus himself says this about the branches:
"Anyone who does not remain in me will be thrown out like a branch and wither; people will gather them and *throw *them into a fire and they will be burned."
This speaks again to faithful endurance.
Alas - it IS your analogy. You may have gotten the idea from Scripture (out of context, of course) but twisted it to your own destruction (2 Pet. 3:16).
For everyone’s benefit here is Romans 11:16-24.
16If the part of the dough offered as firstfruits is holy, then the whole batch is holy; if the root is holy, so are the branches.
17If some of the branches have been broken off, and you, though a wild olive shoot, have been grafted in among the others and now share in the nourishing sap from the olive root, 18do not boast over those branches. If you do, consider this: You do not support the root, but the root supports you. 19You will say then, “Branches were broken off so that I could be grafted in.” 20Granted. But they were broken off because of unbelief, and you stand by faith. Do not be arrogant, but be afraid. 21For if God did not spare the natural branches, he will not spare you either.
22Consider therefore the kindness and sternness of God: sternness to those who fell, but kindness to you, provided that you continue in his kindness. Otherwise, you also will be cut off. 23And if they do not persist in unbelief, they will be grafted in, for God is able to graft them in again. 24After all, if you were cut out of an olive tree that is wild by nature, and contrary to nature were grafted into a cultivated olive tree, how much more readily will these, the natural branches, be grafted into their own olive tree!
So as to not belabor the whole thing.
God is the root.
The root begat the nature branches.
The natural branches are the Jews.
Christ begat the the grafted branches.
The grafted branches are Christians.
Any unfruitful branches are removed.
But can be regrafted by God.
Dead branches are burned (which I stated).
So, where is your problem? Your problem is you don’t like the idea that God can regraft branches back onto the stock tree. I’m sorry you have a problem with that but it is right there for everyone to read.