Raul, the Samaritans are not Israelites.
They are from Cutha and Babylon.
The Bible says so explicitly.
Their Mt. Gerizim was used in idolatrous services from Rehaboam until today. They are not Jewish, Not Israelite, Not Hebrew. Nothing.
Here is the proof, from the Bible itself.
First two and last two verses are the most important.
23 until the LORD removed Israel out of His sight, as He spoke by the hand of all His servants the prophets. So Israel was carried away out of their own land to Assyria, unto this day. {P}
24 And the king of Assyria brought men from Babylon, and from Cuthah, and from Avva, and from Hamath and Sepharvaim, and placed them in the cities of Samaria instead of the children of Israel; and they possessed Samaria, and dwelt in the cities thereof.
25 And so it was, at the beginning of their dwelling there, that they feared not the LORD; therefore the LORD sent lions among them, which killed some of them.
26 Wherefore they spoke to the king of Assyria, saying: 'The nations which thou hast carried away, and placed in the cities of Samaria, know not the manner of the God of the land; therefore He hath sent lions among them, and, behold, they slay them, because they know not the manner of the God of the land.'
27 Then the king of Assyria commanded, saying: 'Carry thither one of the priests whom ye brought from thence; and let them go and dwell there, and let him teach them the manner of the God of the land.'
28 So one of the priests whom they had carried away from Samaria came and dwelt in Beth-el, and taught them how they should fear the LORD.
29 Howbeit every nation made gods of their own, and put them in the houses of the high places which the Samaritans had made, every nation in their cities wherein they dwelt.
30 And the men of Babylon made Succoth-benoth, and the men of Cuth made Nergal, and the men of Hamath made Ashima,
31 and the Avvites made Nibhaz and Tartak, and the Sepharvites burnt their children in the fire to Adrammelech and Anammelech, the gods of Sepharvaim.
32 So they feared the LORD, and made unto them from among themselves priests of the high places, who sacrificed for them in the houses of the high places.
33 They feared the LORD, and served their own gods, after the manner of the nations from among whom they had been carried away.
34 Unto this day they do after the former manners: they fear not the LORD, neither do they after their statutes, or after their ordinances, or after the law or after the commandment which the LORD commanded the children of Jacob, whom He named Israel;