Will God’s love continue to save a sinner that continues to sin (to crucify Jesus Christ)?
It seems as if you do not understand these verses you are quoting.
It's not just 'any ol' sin' that's in view here, but a specific sin (returning to apostate Judaism) of which a specific people (professing Jewish Christians), of a specific time (the very generation that judged Christ to be worthy of death) were under pressure to do:
4 For as touching those who were once enlightened and tasted of the heavenly gift, and were made partakers of the Holy Spirit,
5 and tasted the good word of God, and the powers of the age to come,
6 and
then fell away, it is impossible to renew them again unto repentance; seeing
they crucify to themselves the Son of God afresh, and put him to an open shame. Heb 6
By 'turning back in their hearts to Egypt', they were in essence agreeing that that generation of Jews were correct in their judgement of Christ, thereby 'crucifying the Son of God afresh'.
26 For
if we sin wilfully after that we have received the knowledge of the truth,
there remaineth no more a sacrifice for sins,
27 but a certain fearful expectation of judgment, and a fierceness of fire which shall devour the adversaries. Heb 10
Again, this is not just 'any ol' sin', but was a falling away back to apostate Judaism, which if they did there remained only the judgements, soon to come upon that generation, that they were originally told to save themselves from:
40 And with many other words he testified, and exhorted them, saying,
Save yourselves from this crooked generation. Acts 2
4 And I heard another voice from heaven, saying,
Come forth, my people, out of her, that ye have no fellowship with her sins, and that ye receive not of her plagues:
5 for her sins have reached even unto heaven, and God hath remembered her iniquities. Rev 18
