dizcology: I assume you have somehow played guitar before? It is somewhat risky to just dive head in without at least some idea about what you are getting into.
Anyhow, I would suggest getting a better guitar than a cheap one, but that's just me. And by the way, as far as I understand it, the V-shaped guitars look cool, but probably do not work so well acoustically by itself. So this means you definitely need to invest on nice effects (e.g. the all-in-one line6 boxes you listed - I personally prefer individual effects).
An perhaps more importantly, what's going to be your amplifier+speaker setup? Even with a great guitar and effects, you'll need proper amps to actually produce the sound.
Composite guitars come in all sorts of shapes, and you won't get much of a sound difference between them on a basic level. As with any electric non-acoustic guitar, you will have little to no real sound without amplification. And today, you can get all sorts of different sounds and effects to get the basic sounds you want with a stand alone amp, or amp modeler (pod studio I've used, as well as other effects processors, though I'm mainly a singer).
For a beginner, this is what I recommend- find a cheap guitar that is decent quality. That means you will spend $200+ to get one that doesn't have bad wiring, a neck with a truss rod to prevent the neck from warping, or other stuff with crap guitars. A couple things to keep in mind: do not get a floating bridge (aka tremelo...it'll take a beginner 3 hours to tune it even remotely close to being in tune), get one with passive pickups (active sound better but require batteries and will generally be $200 more), composite guitars are significantly lighter but don't have as warm/full of sound as regular wood one(composite is better for hard rock/metal, but crappy for blues, rock, jazz), flatter necks= faster speed, but go with comfort for your hands, go to a store and play around on one before buying.
When it comes to the rest of what you want, buy according to your needs. If you want to play through a speaker, get an amp. Buy a cheap practice amp with a couple effects so you know if you like playing or not. Metal/ hard rock needs some distortion. If you want to record, with headphones, or have very limited space (like an apartment) get something like a pod. It has built in amp modeling (makes it sound like it's coming through an amp even though it is not). Or make sure your amp has a headphone output.
If you want to bypass all that and get an acoustic-electric guitar, I will look up the Yamaha model I have, as it is about $299, has a thinner body which is easier for new players, sounds like a $600 guitar, and I love it. The next step up is around $700 for better sound.
Once you play, you will see if you love it or not. Dont spend a lot until you KNOW you like it.
I have performed, recorded with a Grammy winning producer who wanted to sign me and my (former) band to his label, and been sought out by bands with radio play and major record company contracts. I'm a singer, not primarily a guitarist, but I''ve been around it enough that I'll gladly answer any questions you have accurately. Feel free to send me a PM if youwant.
And if any of this doesn't make sense, ask. I'm writing this from my phone and it keeps screwing up.
Also, bundle guitar + amp deals are hit and miss. Check out online reviews of them. I can't check out your links right now. Oh, and never ever buy "first act" brand, unless it is for an 8 year old. They are worse than all others, sold at Walmart, and you can get better stuff for the same price.
... And you aren't weird. I have been a performing cello and trombonist prior to a metal/hard rock/acoustic singer, guitarist, and bass player. Music is amazing :)