Pawn to C4 to bind center?

in general in the KIA, you want a solid center so that you can attack on the king side. So making sure with c4 that the centre is locked up opens up opportunities to attack on the kins side. I would not be afraid of f5 by black. You generally need to take the pawn on f5, in order to prevent it of advancing to f4. After f5 by black, I usually try to open the position as much as possible with white so that I can take advantage of the fact that the f7 pawn is no longer protecting the black king. I usually try to place my queen and/or bishop on the a2-g8 diagonal