Nope. . .
You really do not know, or understand, the Scriptures well enough to represent them correctly.
I will take the time to unravel and sort out this prinicple for you, so pay attention.
In your inadequate understanding of Scripture, you are:
Firstly, misrepresenting the meaning of righteousness.
Righteousness (justification) is (positional) right standing before God because of
forgiveness of sin through faith by grace, which is salvation (Lk 1:77) from God's wrath (Ro 5:9)
on that sin.
Biblical principle #1:
Righteousness (justification) = salvation.
Secondly, you are confusing two different issues and confounding them into one.
1) the issue of TRUE faith vs. COUNTERFEIT faith,
2) the issue of TO BE SAVED vs. HAVE BEEN SAVED.
Regarding issue 1) TRUE faith vs. COUNTERFEIT faith:
Firstly, profession of faith is not necessarily possession of true faith, as we see in Mt 7:21-23.
So then, what is the difference between true faith and counterfeit faith,
and how do we know which is which?
The difference is shown in Mt 7:21-23.
True faith obeys, counterfeit faith does not.
Anyone who says they believe, but who does not obey, does not really have true faith,
they have counterfeit faith.
Only true faith automatically saves, counterfeit faith does not save.
Therefore, anyone who says they are saved, but who does not obey, is not saved,
not because he does not have the works necessary for salvation,
but because he does not have the true faith, necessary for salvation,
which true faith automatically saves without any works (Eph 2:8-9).
Disobedience simply manifests that one's faith is counterfeit, rather than true,
and one has not been saved by their counterfeit faith.
Biblical principle #2:
Those who do not obey are not saved, not because they do not have the works
necessary for salvation,
but because they do not have the true faith necessary for salvation,
which counterfeit faith is shown by their disobedience.
Secondly, the true faith which automatically saves is by grace, without any works,
it is 100% a gift of God (Eph 2:8-9).
And this is what you deliberately (it appears to me) confound with the second issue, following:
Regarding issue 2) TO BE SAVED vs. HAVE BEEN SAVED:
As it relates to faith, this issue is very simple.
Paul uses the example of Abraham to show the relation of
faith to righteousness [= salvation from God's wrath (Ro 5:9) by forgiveness of sin (Lk 1:77)].
Abraham was declared righteous before he had done any works.
His works didn't make him righteous, they simply showed that he was righteous because of his faith.
Only true faith, without works, automatically saves, as a gift of God (Eph 2:8-9).
If I say I have been saved, then I am saying I have true faith,
for only true faith automatically saves without works.
And if I have true faith, then I will be obeying, for true faith obeys.
If I say I am saved, but I am not obeying, I show that I have counterfeit faith, not true faith.
Counterfeit faith does not save.
So if I say I am saved, but show that my faith is counterfeit, then I am deceived, and am not saved.
Biblical Principle #3:
Works are not necessary TO BE SAVED,
works only show that I HAVE BEEN SAVED by a true faith.
These are what you misunderstand and confound
to arrive at your false, twice-condemned gospel (Gal 1:6-9).
Please do not make it necessary to explain these to you again.