Long intro, but that's a nice video Jason.
If you weld 'em, you'll wanna ensure that the vacuum disco is working well, or that you have another way to disco the axles (manual hubs, posi lock, etc) plus not a bad idea to disco the front drive shaft.
I experimented with what it would be like to have a front differential locked at all times. My set-up allows for me to do that. I'll try to explain....
First, you need to understand I run F&R ARB's, a twin stick Atlas, and manual hubs.
I first swapped the electrical connection between the front & rear solenoids of the ARB's so I could lock the front ARB prior to the rear & leave the rear open.
I then flipped on the ARB compressor, then turned on the rear locker switch (which is now the front switch since I swapped electrical connections) then I ensured that only 1 of my manual hubs were in the "free" position (the passenger side was free) while the driver side was not, and that my twin stick front drive shaft shifter was not engaged. Then I drove it like this.
The example above simulates having welded spider & side gears, and a vacuum disco in the 2wd position and close to/simular to a standard NP231's set-up.
It did drive sorta wierd from what I'm use to, especially in tight turns. Some feedback was there from what I'm use to. No overbinding or tires chirping due to the gears themself since the bind is released thru the manual hubs & I was in 2wd.
I would imagine that a stock set-up would drive about the same as my experimentation.
Would I recommend it - nope, but that's just me.
It would be a PITA if you wanted to undo it.
If you wanna borrow my welder - I'll take pics.