So, just the desire is sufficient for the Sacrament?
This reminds me of the Jєωιѕн mockery of a Catholic Baptism.
They've historically postured and mocked us saying that even a drowning jew could access the Sacrament by merely wishing it.

Father Feeney's discernment of the weakness of Catholic's and their Sacramental identity influenced him to confront these false ecuмenical claims and mockeries.
I have something else to add, which is extremely important, it's from the Old Testament the book of Job 9.
For those who want to read the full passage from this magnificent poem, here :
https://thedouayrheims.com/odr/job/9I'll quote what I am concerned about :
"And Job answering, said:
Indeed I know it is so, and that man is not justified compared with God.If he will content with him, he cannot answer him one for a thousand.
He is wise of heart, and strong of force: who hath resisted him, and hath had peace?
He that transported mountains, and they whom he subverted in his fury, knew not.
He that removeth the earth out of her place, and the pillars thereof are shaken.
He that commandeth the sun, and it riseth not: and shutteth up the stars as it were under a seal:
He that alone spreadeth the heaven, & goeth upon the waves of the sea.
He that maketh Arcturus, and Orion, and Hyades, and the inner parts of the south.
He that doth great things and incomprehensible, and marvelous, of the which there is no number.
If he come to me, I shall not see him: if he depart, I shall not understand.
If suddenly he ask, who shall answer him? Or who can say: Why doest thou so?
God whose wrath no man can resist, and under whom they stoop that carry the world.
How great am I then, that I may answer him, and speak in my words with him?
Who although I have any just thing, will not answer, but will beseech my judge.
And when he shall hear me invocating, I do not believe that he hath heard my voice.
For in a hurlwind shall he break me, and shall multiply my wounds yea without cause.
He granteth not my spirit to rest, and he filleth me with bitterness.
If strength be demanded, he is most strong: if equity of judgment, no man dare give testimony for me.
If I will justify myself, mine own mouth shall condemn me: if I will shew myself innocent, he shall prove me wicked."
If God wanted excuses to send people to hell, there is not a single human being in history (Christ aside and Immaculate Mary aside) who could dare claim that they are just.
I don't know who are the "Jews" you talked about, but they should have read the book of Job before opening their mouths.