I don't like what they do any more than you, but their style certainly works for them with the players that they have. And if that's what it takes to reach the Premier League, I wouldn't necessarily say no..
Rat? yes, sinking ship/ I'm not so sure. Whilst Burnley undoubtably play a very different style of football to ours, what they do do, is play to their strengths.
At the end of the day they have managed to get themselves into the Premier League playing it, something we haven't managed to do...