Thats the problem, if its repeatable. OP is in NYC, so not sure how far away they would allow the service mechanic to ride the bike to 80 mph to repeat a problem. And if he crashes, no insurance is covering it. I lived in Singapore where max speedlimit is 60 mph. No way for them to ride that fast.

 

To the above... Yes, the break in instructions are in your owners manual.
I have been breaking my New bikes in the same way as I was instructed to do back in 96 on my New 96 FXSTC. My first 50 miles are in City Traffic, Lots of Stops & Go's and shifting through the gears. Another trick that is NOT in the Manual... On a straight away area with low traffic, run in 3rd gear get the rpms up to 3000rpm then... let off completely on the Throttle and let the Engine Compression slow the bike down on its own until it gets ti idle rpm speed. Do this at least 5 times. I normally do it about 10 times. This is supposed to help Seat the Piston Rings and such Properly. The Race guys do this and then that is all they do, they just run the bikes as they please after that.
Regarding your wobble, I would also check your rear wheel" Alignment". It is Possible that it may be out of line to the rest of the bike, even though it is New. Humans make mistakes even at Manufacturer Facilities and at Dealerships.

 

There are plenty of highways and roads in all 5 boroughs that you can easily go 80 on. As long as it's not between 5am and 8pm on weekdays lol.

 

FYI.. The Dyna is a very stable platform at all speeds....

 

"FYI.. The Dyna is a very stable platform at all speeds...."

 

I dunno, I broke 100 on mine and when it went past 80 the whole thing tightened up and felt like it was working better...

 

Never had any problem on my '14. Can let go of the bars at any speed and solid as a rock.

Just a comment, make sure the pre-load on both shocks are set the same.....

 

Tire pressure.

 

There is some good info in this thread. Ignore the steering damper stuff, and read from about post #8 on... The Dyna is a great handling platform, but can take some fiddling to get right. Unfortunately, they didn't all leave the factory "fully fiddled."

https://www.hdforums.com/forum/dyna-...tabilizer.html

Of course, check basics first as others have said... Tire condition and pressure, etc...

 

I have a 17 FXDL bought new in September. I have had it up to 100 MPH. Rides very smooth. I would take it to the dealer and let them find the problem. Plus if you have future similar problems it will be documented.