Relatively new rider needs some cornering advice...

Well, I'm a pretty new rider, as I just got my license about 7 months ago after taking the MSF course, and it's been raining around here for the last 2 months. I'm about 5'11, and 160 pounds.  I have put about 3500 miles on my '06 Suzuki SV650s (first bike) that I bought used.  I haven't had any problems with getting used to the power and work involved with sport touring style, but after all this time I am still unable to lean more than very small amounts.  When I begin to take a turn, the moment I begin to lean past maybe 60 to 70 degrees, I feel like my rear tire is going to give on me.  I've read a number of posts that say it will come with time and that this is just because of the "new rider" aspect, but I'm wondering if I should be looking to adjust rear suspension (which is only preload, but I suppose if it was compressing as the bike experiences the G forces from the turn then that may be it), or if it is related to tire pressure or something else entirely.  My tires don't have a ton of tread on center of tire, but there is plenty on outer surface still.  Also, I have tried psi's from about 30 to 36 on both tires, which I was told may have an affect.  Felt better riding when I aired up a bit, but still getting that "rear sliding out" feeling.  Anyways, just looking for some advice.  Loved riding the second I tried it, and I'm looking to make the most of the experience.  If anyone needs any additional info just let me know.  Thanks in advance.  

It's likely that your tires are worn excessively in the middle (caused by a lot of mileage without much leaning), and that causes handling issues when you do try to lean over because the tire's profile is negatively affected. What often happens is that when you lean into a turn, the bike tends to "fall in" once past a certain lean angle, and that's probably the "rear sliding out feeling" you're referring to.

You should replace your tires and see if that makes a difference.  

Good call Kento.  Leaning way over does just come with practice.
But a squared off tire can be very unsettling.
Imagine rolling a round ball, and how smoothly it moves.
Then imagine rolling a square block, and how it just gets to a point and then flops over. That is what leaning on a squared tire feels like.
Replace the tires and be patient with the learning curve.  
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Life is an Incredible Journey with a Questionable Destination.  Enjoy the Journey Cuz the Destination Might Suck!

"Left us peacefully in his sleep"...PHOOEY!
I'm goin in sliding on my butt with my front wheel tucked under, screaming for one more chance to do it again!

Is there a track school close to your area?

Good track training will give you the confidence needed to learn how to turn and handle your bike in different situations. The training will be set your personal skill level, level of confidence, and can progress from there.

The advantage of track training is that it will allow you and your instructor to work on certain skills without having to worry about traffic or unpredictable situations.  

New tires will certainly make a difference, but good track training will help you also.

Most introductory track training is priced reasonably, and one or two sessions may be all that you need for now to help you gain confidence.

Too many people purchase performance modifications for their bikes when the money would have been better spent on proper training to improve their riding.  
Ride Proud, Ride Safe, Have Fun.

I have the same bike man. Just let it happen, from the sounds of it..your just trying to hard. Quit trying and just enjoy the ride, trust your tires and you'll be fine.  

Some great replies all around. I wanted to add that I'm both an experienced street (20+) and weekend track rider. Being in Canada, I'll drive in anything from 45f-100f all of which dramatically change the temp of the tires which has a huge affect on available traction.

More to my point, this past fall I switched from Michelin Pilot Power 2CT's to Bridgestone BT016 - the 016's warm up a lot quicker in colder weather accomodating more lean angle before sliding, but they took a long time for me to get used to. I found that they were along the line of what Kento talked about in that I was actually used a falling feeling while leaning on the 2CT's (which have a triangular profile) over whereas the Bridgestone's tended to climb while leaning opver because of the flatter profile. So even after many years of riding, available traction will always be a learning curve, and that avilable traction can change from temperature and other weather/road conditions.

Ducati800 also made a great point that there's no better place than a track to practice this. What I did was made a point of following a similar bike as my own on the same tires and followed his line as he took the pace up gradually, this let me have more confidence in pushing past what felt like the limit, realizing that more is available if needed (remember to back off though if your confidence starts to fade). As you practice this with a more experienced rider, you'll find each ride you'll feel more confident, putting on a newer set of sticky rubber sounds liked its in order too. I have had good results on the street with the two tires I mentioned, and some riding buddies also have had good luck with Diablo Corsa 3's.