Neutiqyam: My earlier responses were quite clear and only seem nonsensical to you but I digress.
To your main point-no, I do not agree with at all. Even if a person continues to transgress a specific “aveirah” it does not disqualify his “jewishness” Your reasoning is -again- an extreme example of the self-righteosness of chareidim today, without any understanding of human beings and their weaknesses.
Even your example is faulty. I have known a number of people who actually were in the specific situation that you describe yet they were not thrown out of the klal. Rather, they were nurtured until they re-entered the klal. To call everyone who commits an aveirah , even for a long time, a heretic and, by extension, throw that person out of the klal is the surest way of losing the bulk o our people.
Kal vachomer when we talk of a government that has to juggle many interests and pressure. It is always easy to criticize and throw the shells from the peanut gallery- it is quite different when having to tackle the concrete problems.