In the spirit of the OP...I've been toying with this idea too but man, it would be costly for that one sound! The math may be missing some items so rough apples-to-apples:
Fractal Setup
AxeFX 2 = $2250
MFC = $650
EV-1 Expression Pedal = $140
Atomic CLR = $1000
Rack Holder = $100
TOTAL for 200 amps and countless effects = $4140
Real Amp Set UP (what I'd do or my dream rig)
Marshall 1959SLP = $2699
Timmy Pedal = $135
Way Huge Green Rhino = $135
Strymon El Capistan = $300
Quality clean boost = $100
Pedaltrain Board = $120
Torpedo Live = $1000
Atomic CLR = $1000
(Optional) Marshall 1960x 4x12 Cabinet for big stages/outdoors = $1300
TOTAL = $6789
Even if I cut out the cab, that's $5400 and only one sound but man what a glorious sound...I'm thinking. I guess if you can piece it together over time or had some of the components, it's a different analysis but for me, I'd have to build the tube rig from the ground up so modeling tech is "good enough" and damn good enough at that. While I'd love to have my dream rig some day (and play the whole thing at volume on stage!), that's too much scratch to tie up in gear for a semi-pro/hobbyist.
FWIW, I'm currently having an affair with a Kemper