Is it possible to have vinyl nearly noise free?

Yes it is impossible. Waste of time. Worse than a waste. We don't clean records for the satisfaction of having them play quiet, or to make the stylus last longer, but to make the music sound better. I suggest you follow BetterRecords.com advice and use the Walker enzyme cleaning process, clean the stylus every side, and nothing else. Better still, buy one of their Hot Stampers. You can have quiet or you can have music, and when you hear how good the music can be I bet you agree its worth the noise.

Not that I can't relate. For years- decades- I was in the records are great except for the noise camp. I bought all the newest, quietest vinyl, cleaned and vacuumed incessantly, all the usual BS. Then I realized almost all of the newer/quieter vinyl sounds nowhere near as good as a lot of the older/noisier records. Now I pay a hell of a lot more for USED records that sound a whole lot better. Now my VPI vacuum sits virtually unused. I only even brush a record when I see something on it, not reflexively out of habit like before. And my records probably play with less noise doing this than when I was slaving away, although best I can say is probably because honestly unless and until they get a whole lot noisier I could hardly care less. Its just not a factor.

Yes, but there are many qualifiers; some records are inherently noisy due to manufacture; some may have been damaged by kludgey record players in the past. Some noise may be exacerbated by the cartridge and phono stage. 
I'd be hard pressed to summarize record cleaning best practices in a post reply. There are a million ways to clean a record. I guess my observations would be as follows:
1. Do no harm.
2. Get the fluid and contaminants off the record once that job is done. Vacuum can be very effective, but has other issues, including the potential for static and cross contamination, which can be addressed.
3. I advocate a pure water rinse- purity will vary depending on what country you are in and how compulsive you are. This gives you another shot at removing the residue of fluid, which is itself a contaminant. 
4. I know nothing about Gruv-Glide. I don't use any post-cleaning additives; others may have different views.
5. Ultrasonic cleaning brings a lot to the table but for me, is not a compete solution for old records so I rely on multiple methods and steps, including ultrasonic and vacuum.
6. Fluids- pick your flavor. If you are wet cleaning, keep your brushes, vacuum lips, and anything that comes in contact with the record clean during a cleaning session and afterwards. 
7. I resleeve- pick your flavor. Some shed.
8. Static is the devil and I try and minimize it through how I handle a record post-cleaning. I've found it unnecessary to rely on 'zappers' to charge/discharge.
9. I largely avoid dry brushing because I think it creates more issues than it solves. I did find one dry brush I like, but in many cases, you can do touch up (post cleaning, before or after play) using an air puffer, like the Giottos Rocket Blaster. It's around 12 dollars US on Amazon in the States for the large one.

I'm sure there are things others will add. My baseline is how it plays and long term conservation. I have found with some challenged records that multiple cleanings using both vacuum and ultrasonic are necessary. I'm sure you'll get a lot more input. I'm pretty agnostic when it comes to machines and products. That's why I didn't mention any....(except for the cheap air puffer.)

No

Use a genuine vintage Discwasher if you can find one in good condition with D4+ fluid as maintenance. Vinyl of uncertain history should first be cleaned in the Spinclean, rinsed in distilled water and vacuumed to remove residual water. If you have problems with static, use a little more fluid on the Discwasher and use the ZeroStat from Milty-Pro before playing a side. Also make sure you have relative humidity no less than 30% in your listening room.