We do not have genetic tests that can take us all the way back to them. In addition, we have no objective way to determine how much of a genetic descendant of them one must be in order to qualify.
Partly because it knows this, the modern nation of Israel does not require all of its citizens to be able to produce a certified pedigree that goes all the way back to these three patriarchs.
Using an implausible genetic argument to make a political point doesn't work.
There might be considerations that justify the modern nation of Israel; however, that God gave the region to Abraham, Isaac and Jacob (Israel) and their descendants is not one of them. It is impossible to implement.
England's 1917 Balfour Declaration, the whole of it and not only the first part, makes sense to me. Here it is:
Foreign Office
November 2nd, 1917Dear Lord Rothschild,
I have much pleasure in conveying to you. on behalf of His Majesty's Government, the following declaration of sympathy with Jewish Zionist aspirations which has been submitted to, and approved by, the Cabinet
His Majesty's Government view with favour the establishment in Palestine of a national home for the Jewish people, and will use their best endeavors to facilitate the achievement of this object, it being clearly understood that nothing shall be done which may prejudice the civil and religious rights of existing non-Jewish communities in Palestine or the rights and political status enjoyed by Jews in any other country.
I should be grateful if you would bring this declaration to the knowledge of the Zionist Federation.
Yours,
Arthur James Balfour