While I understand the line of thinking, I disagree with the timing. This isn't Week 17 in 2007, where a win or loss means the difference between Darren McFadden and Vernon Gholston. It's week 11, and the Jets now have the same record as they did in 2009 when they eventually made it all the way to an 11-point lead in the AFCCG. Expecting the coach to lose in this spot is ridiculous.
Not to mention the fact that I'm not confident enough in the Jets scouting team to be certain that a high draft pick will yield a great player. Their two best 1st-round picks of the last decade were Revis and Vilma, both taken in the teens. Or Mangold at #29.
If a top-5 pick nets you a D-Rob or a Vernon Gholston, then I'd rather see the team play hard and draft the BPA wherever they happen to fall.