Your words are at odds with one another.
If He is choosing who will be saved, He is also choosing who is not to be saved.
Well, for example, if someone had something taken away by someone, and someone else replaces it,
was the one who replaced it responsible for it being taken away just because he replaced it?
Grace is indeed a gift from God, as is repentance from sin and the Holy Ghost; but they are available to all who will submit to God.
That's not how I read those verses. As far as I can tell, they in no way permit any contribution from those who receive salvation - just the opposite in fact- that God does it all because He is a merciful and gracious God unto those
who do not deserve it: "not of yourselves", and "according to his mercy he saved us" - does not leave any room
for anyone doing anything in achieving it besides God.
Grace is indeed a gift from God, as is repentance from sin and the Holy Ghost; but they are available to all who will submit to God.
Does God force submission?
Or deny it?
If grace is dependent upon the submitting of themselves to God, or for that matter of having to do anything for it, then it can't be grace. Those are mutually exclusive to each other: grace stands alone and is fully complete within itself -
where it exists, nothing else can.
Should the healing of someone by God from enslavement, blindness and spiritual death be considered as the forcing of submission? In fact, I would say just the opposite is true- that those healed, finally, for the first time in their lives, have become alive and are able to see clearly or would it be better to be left blind? For example, let's say someone is bitten by a venomous snake and they become completely comatose, oblivious, near unto death, and unable to help themselves. Should someone happen by with anti-venom, administers it, and brings the person back to life and to complete health, by that, did he do something good or bad? Should he have not done so and without which he would have died? Should the doing of it be considered as the forcing of life upon someone?
Was it unfair for the man to lift the sheep out of the pit?
[Mat 12:10-12 KJV]
10 And, behold, there was a man which had [his] hand withered. And they asked him, saying,
Is it lawful to heal on the sabbath days? that they might accuse him.
11 And he said unto them,
What man shall there be among you, that shall have one sheep, and if it fall into a pit on the sabbath day, will he not lay hold on it, and lift [it] out?
12 How much then is a man better than a sheep? Wherefore it is lawful to do well on the sabbath days.