Thanks for posting the additional pictures ...
I don't know about everyone else, but I have to tell you that the quality makes it difficult (for me) to discern anything which wasn't apparent before other than the size of the outer chainring & the likelihood that it probably has 9-speed Shimano front-and-rear derailleurs instead of 8-speed Shimano front-and-rear derailleurs.
FWIW. It certainly isn't for ME to tell YOU how you should spend your money ...
BUT, you will be opening a can-of-worms if you want to move the components over to a carbon fiber frame ...
BECAUSE, while many components CAN be move from one frame to another ....
YOU will find that many components CANNOT be moved to most CF frames ...
seatpost ... maybe IF the new frame uses the same size
bottom bracket ... no, unless the BB shell is threaded
crankset ... only if you can use a threaded BB
front derailleur ... no ... your FD has a 28.6mm clamp
fork/headset ... no
saddle ... OK
rear derailleur ... OK
brake calipers ... OK
wheels-and-tires ... OK
shifters-and-cassette ... OK
stem/handlebars ... probably
pedals ... eventually, you'll probably want clipless pedals
Essentially, I believe that you would be making a HUGE mistake if you set about to move the components over to a carbon frame before you log at least
1000 miles on that particular bike ...
After THAT many miles, you will know what shape handlebars you may prefer ...
And, you will have a sense of whether or not you want a crankset with different length arms
You may even want a different saddle (you don't need to put 1000 miles on a saddle to know if it does-or-doesn't work for you).
If the components on the Miyata are working well (and, it seems that whomever you received the bike from made sure that they were), the benefit which you will accrue from moving the components over to a carbon fiber frame will be much less than you are anticipating ...
First of all, you should anticipate that any seatpost, saddle, and pedals weigh about 3 lbs +/- ...
You WILL save about 3 lbs from a steel frame & fork and a
plebeian carbon fiber frame ... so, allowing that your bike weighs between 19-and-20 lbs when it is ready to ride (
which would be REALLY light for a steel framed bike with steel fork), you should anticipate a ~17 lb. (+/-) bike when you have moved things over ....
THAT weight certainly means something for weight weenies ...
It matters if you are geriatric and need to lug your bike up to a third floor walk-up apartment ...
Or, if you have a shoulder problem and a roof rack ...
OR, if comparing the weight with your buddies' bikes matter (hey, that CAN be a valid reason for about 5 minutes) ...
OR, if you are racing ...
BTW. Your fork is NOT viable on most CF frames because it has a 1" steerer .... you can spend ~$40 for a PROBLEM SOLVERS shim (if available) so that it can be used with one of the current fork/headset sizes ...
So, what budget did you have in mind?
If you wait until
July 1st, most 2016 bikes at most shops will go on sale because they become NOS at the beginning of the 3rd Quarter AND existing inventory has to be cleared away to make space for 2017 bikes.
A 2016 bike shouldn't cost more than ~70%-to-80% of MSRP, IMO ...
A 2015 bike should cost less (probably ~60%-to-65%) ...
et cetera.
You can buy a pretty nice, ready-to-ride carbon fiber bike from places like PERFORMANCE BICYCLE (just to name ONE walk-in shop ... TREK & SPECIALIZED shops should also have some bikes "on sale") for less than the cost of a name-brand Carbon Fiber frame you may be able to buy separately
unless your plan is to buy a generic "Chinese" frame (
which are supposed to be a pretty good value; but, there are loads of caveats).
Again, WHAT is your budget?
And, how skilled are you with regard to bicycle maintenance?
If YOU cannot do 99% of the work yourself, then you can probably expect to pay a shop between $50-and-$250 to move stuff over.from the one bike to another frame.