And I will give them one heart, and I will put a new spirit within you; and I will take the stony heart out of their flesh, and will give them an heart of flesh:  That they may walk in my statutes, and keep mine ordinances, and do them: and they shall be my people, and I will be their Elohim. (Ezekiel 11:19-20)

The passage in Ezekiel 11 is similarly repeated in Ezekiel 36.  In Ezek. 36, the timing of the new heart is immediately after Israel is brought back to the Land which was promised to Abraham.  That began to happen in the 1850’s, and was confirmed on the ground by the family of worldly nations in a legal vote in 1947.  Israel declared independence in 1948 and has been preserved miraculously ever since.  That is the process of YHWH bringing the children of Israel back to the Land as in Ezek. 36:1-24. 

The next steps are the cleansing by water (v.25), the stony heart removed, and then the soft heart installed (v.26).

The Ruach haKodesh is put within (the Holy Spirit – v.27) and the RESULT is that the people will WALK in YHWH’s statutes, His Judgments, and DO THEM.  

That is physically doing the Torah thanks to the Torah being written upon the hearts of the people.  That is only possible through YHWH changing that heart through His process.

This appears not only in Ezekiel but also in Jeremiah 31:30-38.  The “new covenant” (Brit Chadasha can also mean Renewed Covenant) is this:

1) It is FOR the tribes of Israel and Judah – and other nations can be grafted in (Romans 11)

2) It CONSISTS OF the Torah being written upon the heart (Ezekiel 11, Ezekiel 36, Ez. 38)

3) One RESULT is that the people will DO the Torah and walk in obedience to YHWH.