Root S2

Search. 3 yrs since phone was released, asked/answered here tens of thousands of times.

Don't be so bloody rude.....
There was a way to do this on 4.0.4....I used it myself....
There might be a way to do it on 4.1.2, but as @MistahBungle says.....SEARCH for it.....with your attitude, nobody's going to be in any hurry to help you.

My wife says I'm a phone geek....She's probably right

Why don't you want CWM anyway? If you're going to start modifying your phone, you're going to want/need to make a nandroid backup first.....in case things go wrong.
You can only do that if you have CWM/TWRP installed.

My wife says I'm a phone geek....She's probably right

Not true.......
To root my phone I installed philz kernel (the zip version via stock recovery) and I have NEVER had the yellow triangle.
But even if it did appear on my phone, it's annoyance factor is tiny when compared to not having a backup for a bootlooping phone.

My wife says I'm a phone geek....She's probably right

if you dont like yellow triangle i know how to get rid of this triangle

first thing you need to know this triangle its not just a triangle it is picture with phone logo triangle and black background
only triangle would be easer but it is not.
This image is located in bootloader mmcblk0p2. Yes there. People do not mess with bootloaders
Before kernel (mmcblk0p5) kick in bootloader check if this kernel is safe or not. If is not image with triangle come up.
What if we would be able to copy some of this black background and paste it where the triangle is.

I figured out so far this image is a first picture in bootloader and its start of address 662756 second picture start at 708058
so all code in between it is what we are looking for

691946 <--- some black space ---> 694360
693556 <--- here is that triangle---> 698180 exactly there. Thats the place to cover up

Now. This is dodge part.We need to extract some black space
dd if=/dev/block/mmcblk0p2 of=black.tmp bs=1 skip=691946 count=2414

And then we need to put black space instead of triangle
dd if=black.tmp of=/dev/block/mmcblk0p2 bs=1 seek=693556 conv=notrunc
that is just just half cos black.tmp is too smal to cover whole triangle we need to do it second time
dd if=black.tmp of=/dev/block/mmcblk0p2 bs=1 seek=695970 conv=notrunc

and now triangle gone