Hi
First thing i notice is that you have put all your villains to loose/very loose in SNG wiz. I have a hard time imagining any table that is actually that loose, so you can definately push wider that SNG wiz suggests in this example.
Regarding SNG wiz/nash you get similar ranges if you put in nash ranges for all villains (dont forget to edit all push/call ranges for every scenario and set your edge to 0.00, if you want to test this).
Personally I find that nash ranges is a very good place to start and then adjust from there, and when you get specific situations where you are in doubt put them in the wiz and take your time to adjust all ranges to what you believe to be true. You can train the nash ranges with the ICM trainer from pokerstrategy
How to adjust is another matter but of course the basic is to tighten up your pushing range vs. loose opponents and loosen up your calling range vs. loose opponents and the other way around. It takes some study to know approximate nash ranges from villains position to see if he is looser or tighter than nash and then to incoorperate that into your game - But if you really mastered this you would probably be beating all limits
To come with a specific example: In most cases at the microlimits people are actually not calling as loose as nash suggest so against many opponents in most situations you can push especially BU/SB wider than nash - Try to look specific situations up in SNG wiz using the chart option in the top to see how wide they can call you for a push to be -$EV.
In other situations they are calling way too loose. Especially around the bubble you can see some extemely bad calls where the middlestack practically gives away money to the shortstack.
Well.. That turned out longer than i expected.. The tl.dr. version: Train with and adjust from nash - evaluate your play with wiz.