What happens after 2. Ke2.

A) 2. ... Rf2+ 3. Ke1 Qh5 4. g3 Nxg3 5. hxg3 Qxg3 (Qxh1 6. Kxf2 looks no good for black) 6. Ne2!

B) 2. ... Nf2 3. Qh5 (threatening Qxh7) g6 4. Bxg6 hxg6 5. Qxg6+ Kh8 6. Bg5 Qe8 7.  Bf6+ Rxf6 8. Qxe8+ game over

C) 2. ... Qh5 (threatening mate on f2) 3. Bxe4 Qxe4+ 4. Kd2 Qxg2+ 5. Ne2 Rf2 6. Re1 looks like black is out of firepower.

Of course, I could be missing plenty.

In line B:

After 2...Nf2 3.Qh5 is impossible (the king blocks the path). So 2...Nf2 3.Qe1 Nxh1 4.Nf3. Black's down 2 pieces for a rook and pawn... a bit worse.

Yowch, good catch on the Nf2 line, I guess my visualization still needs some work. :-)