Hello Jimmy. I'm glad that OiVaVoi has given you something to look into. I'm going to make a very tentative alternative suggestion... You ask at the end of your post 'Is this my way of seeking a faith?', and the answer to that is, of course, that I don't know (and I suspect you don't really know yet), but it might be... and there is one way to find that out, which is to explore the possibility a bit more.
You list lots of things about attending church that appeal to you, and you have a friend who goes. Why not just go along with her for a few weeks and give it a try. There is not 'admission test' on the door to find out if you're 'holy enough' to get in. No-one will question you as to why you're there. And no-one will 'magically know' that you don't really consider yourself a Christian.
About three years ago I was in a similar position to you. I went to church as a child, but stopped in my teens and had been agnostic for years and years, although always attracted to the idea of church but just unable to make that 'leap of faith'. I went back for reasons that ostensibly had nothing to do with any kind of 'search for God', although I can see now that I was absolutely searching for something at a very fundamental, but very hidden level. I was in a foreign country, my DDs were at a church school, I wanted to fit in and meet people, and I wanted my DDs to understand something about Christianity, even if only for 'cultural' reasons (understanding art and literature...). I started going to church feeling absolutely petrified that someone would 'see through me', that they'd know I was 'faking it'; that I'd do the wrong thing and show myself up... But it was fine; I stopped feeling so nervous; and then I started to enjoy it; and then it started to speak to me on a deeper level; and... well... here I am.
Now, that's just my story, and it may not go like that for you. But even if if doesn't, what have you lost? You like the sound of church, and you know what some of the positives are... The negative side is that you'd be 'faking it', like I was at the start. But you don't have to say or do anything you're uncomfortable with. And if you hate it, you don't have to go back. But if you don't give it a chance then you might never find out if this is, on some level, your way of seeking faith (some might say 'the way in which God is speaking to you' ) or not.
My own experience is that it is absolutely worth giving it a try. I am so happy with my rediscovered faith, and really feel that I have 'come home'. Whether it's at church or not, I hope you find what you're looking for.