Great question. There are two, potentially three mitzvos that govern love and hate towards other Jews:
1) ואהבת לרעך כמוך. Now, notice how the wording is לרעך and not את רעך (as opposed to ואהבת את ה׳, ואהבתם את הגר, ויאהב יצחק את עשו, ורבקה אוהבת את יעקב, אהבתי אתכם אמר ה׳, etc.). This implies that one isn’t obligated to love a fellow Jew inwardly, as a man loves his best friend or his wife or his children or his siblings, etc. Rather, one is obligated to love him outwardly, i.e. speak positively about him, protect his property, strive to ensure sure he is afforded respect, visit him when he is ill, comfort him when he is grieving, escort him, take care of his burial needs, and eulogize him when he dies, carry his burden, lead him when he can’t lead himself, gladden him and provide for him when he marries, etc. In a word, to do unto him as you would others to do for you. There are exceptions to this, which I will explain shortly.
2) לא תשנא את אחיך בלבבך. One may not hate a fellow Jew, even if it is only on the inside. There are exceptions to this, too as I will discuss shortly.
3) ואהבתם את הגר. One must inwardly love a גר. I don’t know if this has the same exceptions, but I’m יראה לי that it does.
The only exception is a Jew who DELIBERATELY defies the Torah, even AFTER PROPER REPROOF, and even though he KNOWS HE IS SINNING, and makes NO EFFORT TO IMPROVE.
Note: Reproof doesn’t mean yelling at him that he’s a shaygetz and a menuval. It means explaining to him in a caring, loving way, in private, that he is not on the right path, etc. בחבלי אדם אמשכם וכו׳.
Hence:
Neturei Karta – Yes, their views are insane, but they are still your fellow Jews, there is no evidence that they sin with defiance, and even if they do commit actual sins out of their perverted beliefs, for which I have no evidence, they are תינוקות שנשבו who have been mislead by others. You needn’t love any of them and be their best friend. But you cannot hate them, and you must treat them as you would want to be treated.
Lev Tahor – Same as NK. Their leaders, though, I’m not so sure. Depends on whether they fit the above exceptions.
מחללי שבת בפרהסיא – Definitely not a secular Jew from birth. But if he grew up religious, and you know that he does so defiantly after proper reproof, and he doesn’t wish to change, you can and must hate him and not display any concern for him.
PRIDE Chevra – Not sure what you mean. Is he actually flagrantly married to a man, etc. and has he been given proper reproof? Then I guess. But merely being proud of his orientation though doesn’t make him a רשע. Same as NK.
Hassidic car-blocker: We’ve all experienced this, but a one-time annoyance doesn’t exclude him from רעך and אחיך. Not everyone has the greatest מדות. If it upsets you though, you must tell him that he wronged you and that he should apologize and not do it again.