Can you replace the neck of a Deluxe tele with a standard neck?

If you mean the tele deluxe with the 2 wide range humbuckers, then the neck pocket is routed for a strat neck and a standard tele neck won't fit without reshaping the pocket. It is possible, but it'd be much easier to find a strat neck with the same profile to use as a replacement.

 

yes, you should be able to put an American neck on a MiM body.

 

On any replacement, measure the pocket and the neck heel. If they're the same or pretty close it can be easily done. I NEVER assume anything when it comes to neck pockets and/or necks. There are too many variables.

 

My Tele Deluxe MIM reissue has a three-bolt neck with tilt adjust. Most other Teles don't, so swapping a neck from another Tele might require some modification. I don't know if they're all like that or it's just the 72 reissues. Also, my neck has a Strat headstock, and I haven't checked but I can certainly believe, as @BluesRockDude says above, that it's a Strat neck and the Deluxe body is routed for the more rounded heel, in which case you'd have to rout some wood to fit another Tele neck.

 

I think there are two different guitar types now?

70's style Telecaster Deluxe (2 Wide Range humbuckers, different body routing, pickguard and maybe neck pockets) vs. American Deluxe Telecaster series (special model series).

Fender and their names..

 

Pics always help. Is your guitar just a regular tele but from the deluxe line? If so you should be fine.
Just double check the neck shape


And Neck pocket



New fender replacement necks often come with 5 holes.