Agree with
@Anna C. You definitely have more of a girevoy sport or "GS" style. There's nothing wrong with doing a GS style of snatch/clean - I'm training for a kettlebell meet at the moment myself. However, even in GS most competitors use more hip hinge than you do. You actually have more of an Olympic lift style with a vertical torso. It's actually impressive that you can snatch with that vertical of a torso and if you're using kettlebells as assistance work for Olympic lifting then what you're doing will probably have some carryover. However, if you just want to get better at kettlebells then you are short changing yourself by not using more of a hip hinge - you're not maximizing the use of your body's strongest muscle groups. That's also probably why you are pressing out your snatches at the top - your lower body just isn't providing you with enough oomph to launch the bell to the top.
There are plenty of folks here who can go over the points of the hardstyle technique. For the GS technique, there's a "little" more individual variation - some lifters use lots of hip hinge others very little.
The first vide
o is of Ksenia Dedyukhina. I've used her video before to demonstrate GS technique not because she has very good technique.
The second video is of Ivan Denisov. He uses much less hip hinge, but there's still some there. I like this video because 238 snatches with a 32 kg in 10 minutes is beyond my capability and darn impressive.
There are other technique points with the GS snatch but these two videos should give you an idea of the basic hip hinge styles.