Typical idle for 7mgte
 

i wanted to know if my engine idles too low, it idles at about 500-600 when warm. Also, when i pushed the car hard to the point where turbo kicks in, the engine sometimes dies out when i put it in neutral or let off the gas. Can this be due to the low idle?

not enough fuel pressure lean!!

clogged or dirty fuel system?

Check for vacuum leaks

i just finished changing most of my vacuum lines with silicone, but is that a typical idle range?

yes that is normal idle. it says what your idle should be under your hood on that sticker that says 7m-gte

So what could cause my engine to die out after a hard push?

do you have an aftermarket blow off valve thats vented to the atmosphere?

Yes, an ssqv.

I would recommend getting the recirculating kit for it.