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if you heard a squeaking/whistling/whooshing sound when stepping on the brakes, it is the booster. if not, you may have a faulty ABS module. the master cylinder hardly ever fails on this platform.

check out rockauto.com or any online ford dealer such as fordpartsgiant.com

generally the breakage is inside the turbo with the wastegate. i think 1 or two people have repaired it successfully but have no documentation to that effect. best bet is to replace the turbo.

the TCM is not even listed, i wonder what they would classify it as - adaptive or not, since you have to erase the tables separately from the PCM reset.

if it is awd, it is worth checking the RDU. not sure what all symptoms are going to crop up with the instant disconnect these things have.

what year edge? are you comparing cold start to warm/hot start? are you using keyed/keyless/or remote start when this happens? have you checked battery health - cold cranking amps in particular? are the cranking rpms the same regardless of which time you start the engine? ... more questions may arise once data is provided.

it should. fordtechmakuloco also has a video on this on YT

since you are noting temperature dependent symptoms, and already serviced trans fluid, you should check basic maintenance items such as air filter spark plugs pcv valve maf/map sensor(s) loose wiring wiring eaten away by pests where are you located?

have not heard of any such servicing on the edge mkx platform. i assume the bearings are sealed and will not benefit from it. you could replace the motors or the brushes maybe. or get a dropin replacement from a JY on car-part.com

try to get the pcm reprogrammed https://drive.google.com/file/d/1_tV0p90M85nN1S99BRujXA620dqIfQ6l/view?usp=sharing

who is telling you to replace these bushings and why? do you have an invoice or estimate to that effect? afaik, subframe bushings have never had to be replaced on any MY of Edge. and as Haz mentioned, if you really did, you would need the entire subframe OR source alternative parts with help from parts houses. no one has even developed aftermarket sub bushings, tho that is hardly a surprise given how eclectic an effort that would be.

some of the work is shown in these videos for GEN 1.5 for GEN 1

JD_Crankshaft Position _CKP_ Sensor 2007-2010 Edge MKX.pdf hopefully gives the solution

Inertia switch is a good idea, since you are getting cranking but no fuel.

vct has only 1 per valve cover, ti-vct has two. vct only controls intake, ti-vct controls both intake and exhaust. if the new motor is from an 08, then it should be 100% compatible. are you sure the new motor has no timing issues? there was a tsb on the phasers that state if it had timing related codes, that the phasers would need to be replaced. i guess tho the codes would show up when you started it after the install, but its puzzling why it wont even start.