Hello and welcome to the forum! I wish to offer you technically correct and friendly advice that helps inform you.
We are blessed with life, liberty and the pursuit of happiness. Your Mustang, your goal, you can do whatever it is you want! But please keep reading though ..... there is much to consider.
* This is a very complicated and expensive proposition. You will need a lot more than just an engine and transmission. You will need an entire donor car with a Coyote engine and MT-82 6 speed transmission, one that is obviously running.
* Please understand that nothing will fit or be compatible between a 4.6L automatic and 5.0L manual. Nothing.
You will need the donor PCM (powertrain control module) and the entire wiring harness and all the sub-modules. You will need at least an entry level electrical engineering level of knowledge to deal with the electronics. The dash will not be compatible. You will need to swap dashes. The ABS module will not be compatible. You will need to swap ABS modules. Coyote Mustangs have a Smart Junction Box that is a major electrical component which your 2000 Mustang does not have. Power seats, power windows, the radio and everything like that will be tedious, time consuming, difficult and expensive to integrate.
It will take you days, if not weeks, just to get the reverse lights to work if you have never done this before. This is after, of course, you have modified the footbox and welded in sheet metal reinforcements and more to mount the pedal box with a clutch. This is not like replacing your dishwasher. Don't forget the clutch neutral safety switch and how that is going to be mounted (or overridden so you can actually get past a No Crank, No Start condition). Everything all the way back to the fuel pump and fuel level sending unit and fuel tank pressure sensors and fuel pump driver module needs to be changed or adapted.
Brake booster, power steering rack, air intake, exhaust manifolds, engine mounts, transmission mounts, AC system, and more all need to be swapped. That includes all the hoses, modules and associated wiring. Plan on also fabricating a custom-length drive shaft, because they will certainly be different. All of this work needs to be done to a level that ensures structural integrity.
Don't forget the SawzAll blades and steel plate and welding materials you will need to simply mount a shifter in the tunnel. If you've never used piano wire to measure things out so you only have to measure twice and cut once, well, you'll need a roll of that too.
The firewall and strut towers will need to be trimmed, re-shaped, welded, and worked extensively. You will need to change the master cylinder and figure out how to route the hydraulic line to the throwout bearing.
The passive anti-theft system (PATs) module and the ignition system will need swapped over. Both engine compartment and pax compartment fuse boxes.
I kid you not, even the windshield wipers will need to be converted.
- - -
If / once you get past this colossal challenge above, then you get to enjoy the red tape that is your state's DMV. You will never get such a conversion to pass inspection in California or New York. Ditto many New England states and Colorado and Oregon. This is a consequence of voting. They want to force you into an EV, meaning your conversion is denied and that's a whole separate discussion.
- - -
So this brings up the obvious first (and really only) issue. Why not just buy a three pedal Mustang with a Coyote engine in the first place? Trade in or sell your 2000 Mustang to offset the cost. This way you have what I call "instant gratification". You could be driving one literally tomorrow. It will also be far less expensive in the long run. See above.
- - -
* You are not likely to find any shop anywhere to do this for you, even if you have an unlimited budget. It is not unique. It is not interesting. 2000 Mustangs are not collectible and never will be. In fact, most custom shops will turn down this work because of the question "why on earth did you do that"?
Bring them a 1991-1993 notchback FoxBody in solid condition on the other hand, and you might get some interest. As long as you have a $50k budget though still.
- - --
Yes, this has been done before by relentless, passionate, skilled, experienced, individuals who have some other compelling reason such as their first child was miraculously born in the vehicle on the way to the hospital.
These people also have a pro level tool set, a lift, a shop or very large garage.
- - - -
Life, liberty, pursuit of happiness.
HTH.