Phone Turn off Default SMS & Call Widget on Lock Screen

I do like the stock 4.3. Its much smoother compared to 4.2.1.
But what I don't like is the default SMS widget that shows up on the locks screen when we receive an SMS.
Same goes for Miss Calls.
The sms is displayed on the screen itself, so basically anybody could read the sms as it arrives (I dont like putting lock).
I know, there is a setting to disable sms display but that will turn off the displaying of the message on notification bar aswell.

So is there any way to turn off that widget ? I couldn't find any yet.

Infact, this whole lock screen widget thing is not so cool because, as per my experience, if I put widgets, the phone takes up a while (1-2 secs) to wake up.