There is no difference, who would prohibit them from forging in NXT PoS and get a profit from fees? Do they somehow get mining equipment for free to mine Bitcoin? I'd like to get me a few free ASICs then, oh and free electricity too

Unless I am mis-understanding, anybody with at least 50% stake can do that.
With PoW mining, a 51% attacker can not force you to stop mining (short of seizing or bombing your equipment).