We also use Nerve strike while FD when we pull, (Drasio (who came up with our strategies), Tomany, and myself)... sometimes we also position ourselves feigned and stun, pass on mobs like a baton in a marathon , all in the effort to break up groups charing our group (Drasio our drunk monk tank, Tomany and myself both Dragon dps, and Zoshan our disciple life-saving healer).. it's been very effective for us.  We also use it to stun mobs that add during battles, while Drasio keeps aggro from healer, Tomany and I will work together to stun the adds, keeping mobs from beating on all of us and driving Zoshan nuts spamming heals.  If no ones aggressed the adds, you can do so without feigning, just be sure you turn off autoattack, and try not to have any currently qeued criticals counting down.  I personally tend to FD so that i can signal intent to the group, and we know that the adds covered then.  Despite no plate wearers in the group, we manage to succeed where other groups are failing

Actually the nervestrike pull requires u to FD next to the mobs u want to split and thats not a recommended action in APW as mobs hit like trucks on speed (worst example so far being sky pirates of course). There are far better ways to split there than nerve strike  nervestrike works like a charm in most other dungeons tho where mobs hit for a normal 1500 dmg 

Fix for your problem:

make a macro:

/cast "Storm Stride"
/cast "Crescent Kick"
/cast "Feign Death"

You are by the mob, ready to nervestrike and soaring leap your butt out of there without getting hit.

I have a problem with Soaring leap : a lot of times when i use it, the mobs stop chasing me :-/
Is there an explanation or a workaround ?

I'm curious about this. Seems the Dreadknight is able to use their Phantasmal blade with shadowstep. Is there any reason we cannot do the same with our Storm Stride? Is it a bug or a feature?

yes, very annoying that it doesn't work like the DK abilities.
Almost makes you wonder why we have storm stride at all, but I am new to the monk class
and maybe there are other legitimate abilities that would require a stormstride.

Actually, Phantasmal Blade is also out-of-combat only. I'm not sure if this is a longstanding bug, or intended. But it's really annoying (wish they'd fix that so we could have our "puller" role at some point before Raiding =p)