Krav Magra is overrated. From a self defense standpoint, its nothing new (stab the guy in the throat, kick his balls, poke out his eyes, basically just fight dirty and do whatever you have to). From a competitive fighting perspective, its garbage. "Grab the arm when they punch" stuff....none of it ever works if anyone has even the SLIGHTEST idea what theyre doing. A friend of a friend just got done serving like 4 or so years in the Israeli Defense Forces (where Krav Magra originated and is taught). He talked a lot of shit and in the end, he was sprawled on his ass. He said things like "well in a real fight, I'd have my knife and itd be done in two seconds", to which I replied "You're right. Cuz in a real fight, I'd shoot your ass the second I saw that knife"

And to original question, it sounds to me like your talking about boxing with a few TKD kicks and some basic grappling moves. Which isn't TKD at all (from my experiences). There's nothing wrong with that, to supplement your boxing. TKD will teach you to kick better, and with the right teacher, you WOULD be a damned tough fighter. The problem is that, with TKD moreso than any other art besides maybe Kung Fu or Karate, you are going to have one hell of a time finding a legitimate teacher who teaches his students to properly use the art in a manner that is feasible in a real fight. There are so many crap teachers out there who teach solely to make money. They start their "McDojos" in suburban areas and overcharge the hell out of everything. Or maybe they start in an inner city with the hopes of just giving children some structure in their life to keep them off the streets (like many boxing gyms do, and I applaud both for their actions)