Then there's another Jihadist who attacked two police officers in NYC with an axe:
No, they're not related because they're not related.
This "jihadist" thing is just a hook for a certain slice of the crazies to hang their hat on. We will always have crazies doing antisocial things. Ordinarily they would be called "crimes by crazy people." But as soon as a crazy says "jihad", it's "terrorism" so the government needs to further infringe on liberties.
Just say no to "jihad" as a serious thing - it's popularized to speed along your enslavement. There may be a few actual jihadis operating in the Middle East, but going nuts on some cops with a hatchet is not jihad, it's assault.