Can you put a les paul neck on either a jag or jazzmaster or tele?

[Mustang24]

I think the subject says it all

 

[Super Turbo Deluxe Custom]

Do they fit?  Yes.  Their bodies have a Strat neck pocket, and their necks have a Strat neck heel.  The exception being the Tele, but Strat neck heels fit and intonate in Tele pockets.

Looks?  That's a preference.

 

[Super Turbo Deluxe Custom]

Mustang necks and bodies, those require a 24" Mustang neck or 7/8 replacement neck that actually converts it to a 24 3/4" scale, not to be confused with a conversion neck.

 

[Tipperman]

The jag is 24" scale as well. So no LP neck on that.

 

[bluespoet]

put on a paddlehead and change the shape of the headstock to look like anything you want. The real question is why? If using Warmoth parts, just alther the headstock.
As a side note, I do add to headstocks and change them, so for me this is not uncommon.