I was born around '75, and grew up in the microComputer scene...However, I never had the money for an AMIGA, but always drooled over them when I was growing up..so suffice to say, I'm new to the CURRENT amiga scene, but have been reading...so go easy on me. I have investigated several options:
I graduated from High School the year before you were born, so I was a lot older than you when the Amiga first appeared, but I did not buy one until late 1986, or early 1987, can't remember exactly when.
1. Buying a Mac Mini G4 1.42Ghz with a 1 GB ram, and putting morph OS on it
G4 Mac Mini's are usually more expensive than buying a G4 eMac that has about the same performance and comes with a monitor, but they are ungodly heavy and can cost more to ship them then the price to purchase them. But if you can find one locally for free, or for very little money, they are a good choice to run MorphOS on. Specially the 1.42GHz model, which I think comes with 64mb of VRAM (might be wrong on that spec though). Only the 1.5GHz G4 Mac Mini comes with 64mb of VRAM, the rest have only 32mb VRAM, which might cause some problems if you are using enhanced display modes and large high resolution monitors. Another cheap choice of G4 Mac hardware is the slower G4 PowerMacs, like the 500MHz to 867MHz, or even 1.0GHz models. You might need to replace the video card with a Radeon 9000Pro which are easy to find for the Mac, or one of the other supported video cards, as the original video cards in most of the early G4 PowerMacs are not supported. I got my dual 1.25GHz G4 MDD PowerMac for less than $50 and no shipping or tax and I just saw a dual 1.0GHz G4 MDD PowerMac get sold on eBay today for 0.99 cents plus shipping, but the shipping was $75. It appears that most supported G4 eMacs and PowerMacs on eBay are selling for around $100 when you include the shipping, but if you keep your eyes open, and look around your local area at thrift shops, recycled computer stores, or garage & yard sales, you can probably find a G4 PowerMac like I did for less than $50.
2. Buying a SAM440EX based board and building my own, and installing AmigaOS 4.1 (seems nice, but an expensive endever) I thought I would install Morph OS first...but not sure if its the experiance I'm looking for.
Some people like OS4 best and others like MorphOS2.7 best, it is all very subjective. The nice thing about MorphOS is that you can usually find the hardware to run it very cheap, or maybe even free, or you can possibly borrow someone's compatible G4 Mac system and you can download and install MorphOS2.7, and run it for free 30 minutes at a time between re-boots to see if you like it. If it does not fit your needs, or you don't like it for any reason, you can usually sell the hardware for the same amount you paid for it, or more if you were careful when you purchased, so you are not out any money, or very little. OS4 on the other hand must be purchased, there is no free version to try out, so I suggest that you find someone that has it running on the same hardware that you are thinking of buying to run it on, and test it out at their house to see if you like it. Most OS4 users would be happy to invite you over to show you OS4 running and let you play with it for as long as you like to see if it is what you want. Just ask around here and other sites, until you find an OS4 user that lives close to you, or close to some place that you have always wanted to visit. That way you won't be disappointed after you buy what ever system you decide to get, because you will already know what you are getting in advance.
One last point of note, I recently installed WinUAE, and did what I consider to be a RAW install of OS 3.9. I'm doing that to bring myself up to speed on the OS. So my questions are:
A. Which route above do you think is the better one for the true amiga experiance (I know I'm going to have people telling me to buy an Amiga 1200, put an accelertor card in it, and go from there, but I', not sure I have the money for that.) I loved the Dan Wood videos on youtube
He has them all 
It sound like you want a Next Gen Amiga system, and not just a Classic Amiga experience. There is no one answer for which one is more of a "True Amiga experience", as both sides will tell you that they think their choice is more like what the true experience would be if Commodore was still in business today. Those arguments can get very heated in a short period of time and are pointless. Only you can decide what is a "True Amiga Experience" for yourself.
B. Don't lynch me on this one, if its been asked over and over again, I googled it, and couldn;t find the answer. Can I run AmigaOS 4.0 or 4.1 CLASSIC on WinUAE? I know I can run OS3.9, so I was wondering what the stretch was...
Thanks in adavance for helping a OLD newcomer out.
This question has been answered already by a couple of people. It is NO.
Welcome back to Amigaland and personally I hope you will choose both (or all three, as you have not mentioned AROS, which is another valid choice of Next Generation Amiga systems) and enjoy all there is to experience in the Amiga community.
(warning: DO NOT FEED THE TROLLS!)