You have 3 problems 1.) Intel doesn't make a micro-FCBGA quad core for direct surface mount 2.) Nobody (currently) makes micro-FCBGA to micro FCPGA converter socket. You can't "snap" the sockets onto the board 3.) You're going to (presumably) need to make modifications to the microcode in the EFI to accept a new processor. Maybe I'm wrong about this, but I suspect it will hang at trying to build a device tree with an unidentified cpu.
You are definitely right.
But let's see what the OP can do once he/she attacks the issue.
I don't think that the OP's project will be easy. And it may not be possible without great expense.
I just know a couple of people from grad school that might be able to help him so I sent him the link from
UCSC. There are some there who are grad students specifically studying processor architecture. What is great about them, vs nearby Stanford or Cal, is that UCSC is far more accessible, and the people there will bend over backwards to help an outsider. They don't have the world famous reputation of the other two schools in high tech/science, but they still have a lot of brainpower and talent.
And you don't have to be a PhD or grad student on this subject, but that can't hurt. However, there are plenty of college dropouts, especially in the Silicon Valley who have done very well and they are today's Edisons. One was deemed the "best" inventor of the 20th century by Time Magazine, among others, and he does pretty well in everything, except dancing.

He partnered with another then college dropout to form Apple.
I think my otherwise unremarkable South Bay Area where I grew up was built on a combination of PhDs, college graduates, and high school graduates who all shared a common vision in making the impossible, or improbable happen. Not too long ago, these were orchards with a very small handful of high tech businesses and there was a great need to make something happen, and fast. The scope of what is here cannot be merely understood from movies or books. You have to actually live here or spend a lot of time here to see just how many people did amazing things in high tech and hear their naysayer stories from "rational" people. I have heard amazing things from PhD students as far as innovations concerning processors as well as from a guy who almost had a bachelor's in history, but learned his ability to modify computers and solder very small stuff in the US Army special forces group, SFOD-D, where they were asked to do the nearly impossible. The TV shows the A-Team and The Unit, are very loosely based on that group. There is talent in schools, industry, specialists the military, and elsewhere, which is far more than most of us will ever dare to imagine. Let's not get hasty and call the OP's project a wash before he/she has even started.
Just like Los Angeles has a lot of people in the movie industry, San Jose and the South Bay Area has a lot of people in high tech, including innovators who have changed the world. You cannot go a week without going to the grocery store, Macy's, or Starbucks without running into one of them. The local Valley geniuses have hangouts where they unwind where you can hear them talk about all of their latest developments like a certain bar in multimedia gulch or places like "K-house".
BTW, sorry OP if I sound like a naysayer, too, but I will tell you those two places if you PM me. He he, the geeks I know would kill me if I told them where they like to hang out, and it's safe to let the rest of the world think they all hang out at Sci-fi conventions.
I don't think the OP has an easy task at hand, and if anything we are all making him more determined to succeed.
My guess is that he may NOT get the processor out and replace it, but learn many things he never knew about computers and get some new ideas on innovation.