Can't get my wheels off

[cuda hunter]

I had the motor rebuilt and some work done to this car through a company in Denver.  I've driven it a few miles in the past year and a half.  It took pertnear 2 years to get it back. Whatever. no biggie.

However, now I have a problem that someone at the shop die to the car.

The front wheels are 14 rally's, I think 74 rally's.  They use a chrome full lug nut due to the rally caps.
The rear's are 15's, just some junk 4 slot tires that are rusted, but work.  They can use a standard open tapered lug nut.

The guys used the wrong lug nuts.  They installed the full chromie long lugs on the rear 15's and the short open tapered lug nuts on the fronts with the rally caps. 
They tightened them down and the lug nuts went so far into the cap that they will not allow a socket to grab them. 

How do I get these lug nuts off?  I pb blasted them, no movement with the tip of the socket. 

My only solution in my mind is to get new nuts, screw them on the exposed few threads and then weld the nuts to the lug nuts so that I can get them to screw off.  That will definitely ruin the caps (already junky).

[MoparLeo]

Deep, thinwall 6 point socket. Easy. Been done may times over the years in the tire business. Only the edges are rounded off. The lug nuts have plenty of undamaged area to grab onto.
Think about this. How did they tighten the lug nuts when they put them on ??? Just use the same tool ( you might contact them to find out what they used ) to remove them. Not complicated. Just lug nuts.

[anlauto]

I find a spark plug socket works well..

[Jay Bee]

I've read that sometimes sockets can be ground down enough to work for situations like this. It would mean sacrificing one. Looks like whatever little exposed portion of the nuts there is are stripped round too.

[Jocigar]

My first two thoughts are to spot weld another sandwiched nut, or use multi point socket and machine outside diameter with lathe if needed.   

PB is good, torch and PB even better

[Rich G.]

Doesn't look there is much of a hex to get a thin socket on. Welding another nut to that nut sounds like a good option. I'd get an air chisel a break up the rest of the cap to see more of the nut.

[cuda hunter]

Thanks guys.  Probably have to do the welding way.
There just isn't enough room to get on the nuts.
Good idea to waste a socket, which would be fine but I already messed up two of them trying to get them off to start. 
I'd consider busting up the caps , are they seated under the nuts or are there screws behind the cap to hold it on? 

[dodj]

Screws behind

[Crocha617]

I've never tried but you should be able to bust off those center caps. Also as stupid as it sounds make sure if you get a socket on it you're turning the lugs the correct way....I can't tell you how many times over the years I've forgotten about right vs. left hand threads and kept cranking the lugs tighter and tighter trying to loosen them.....

[torredcuda]

Pry bar, BFH or air hammer to the caps since they are already busted up- they should break off fairly easily.

[jimynick]

And DON'T use a double hex socket! Single hex only. The 12 point ones don't engage enough of the nut to withstand twisting the corners off. Don't forget to stop in and thank the wankers who did this too you. What a PITA! 

[cuda hunter]

And DON'T use a double hex socket! Single hex only. The 12 point ones don't engage enough of the nut to withstand twisting the corners off. Don't forget to stop in and thank the wankers who did this too you. What a PITA! 

Yeah, the 12 point is why I messed up 2 on the outer edge. 

The shop is in Denver as there is no where to get anything done to my classics any closer than 2-3 hours.
I've already forgotten their name. 
Welcome to the mountains. 

[cuda hunter]

I've never tried but you should be able to bust off those center caps. Also as stupid as it sounds make sure if you get a socket on it you're turning the lugs the correct way....I can't tell you how many times over the years I've forgotten about right vs. left hand threads and kept cranking the lugs tighter and tighter trying to loosen them.....

Do those lugs have L and R on the end?  Assuming R being right turn off and L being left turn off.

[CHL2T]

Drivers side will be left hand thread up till 1971 I believe maybe 72  .....
after that standard thread all around

[MoparLeo]

Re read the second post, updated. 6 point deep, thin wall socket, seat firmly with a hammer and use a long handle ratchet/breaker bar. Will come right off.