The Two House Movement is SO FALSE. Wootten made it up out of whole cloth. Mainstream MJ is thoroughly opposed to it. Here is a bit from an article by MJAA:
"Despite their arguments, the Bible tells us that many of the northern kingdom's subjects rejoined the southern kingdom both before and after its people were exiled. Based on this, scripture makes the claim that the Jews today represent "all Israel." The term, "Gentile Israel," used by Wootten, is an oxymoron in terms of the biblical world of ideas.10
Jer 30:10 addresses the Judahite exiles (cf. Jer 29:1, 30-31) and calls them "Jacob" and "Israel." Jer 31:17-20 reports that Ephraim has repented (past tense) and describes Ephraim grieving over its own acts. Ezra 2:70 states of the returned exiles, "and all Israel lived in their cities." Zechariah addresses the same Medo-Persian returnees as "Oh house of Judah and house of Israel" (8:13; cf. 8:15) and distinguishes them from the people of the nations (Zech 8:23). It is thus not accurate to argue that references to post-exilic Judah are unique to Judah and do not apply to Israel.
Those who returned from exile referred to themselves both as Jews and as the people of Israel because they affirmed the theocratic reign of God centered in Jerusalem, the capital of the former kingdoms of united Israel and, later, Judah (Yehudah).
Thus the phrase "the Jewish people" has become the title for all of Israel. The term Jew encompassed all those who were taken into captivity by the time of the Babylonian exile, both former Israelites and Judahites, "the remnant of Israel" (Jer 31:7. Cf. Jer 50:33; Neh 12:47; Dan 9:11; Lam 2:5). By the time of the writing of Esther, the term Jew, derived from Judah, could refer to someone from the tribe of Benjamin (Esth 2:5). In the Greek Tobit 11:17, in a clear reference to the Assyrian exiles, it states, "So on that day there was rejoicing among all the Jews who were in Nineveh." This designation became so widespread that by the time of the Hellenistic period, the term Jew identified those of all the former tribes who dwelt in the diaspora and who affirmed a particular religious system. Wootten's claim that the northern Israelites were "never once called Jews"
is false."
http://www.mjaa.org/site/News2?news_iv_ctrl=1022&page=NewsArticle&id=5143&security=1