Here's a pic from the tech section that I think has some discoloring on the pipe that I am trying to avoid (I stole the image...it's not my bike...it belongs to one of you so thanks in advance   )

That honey comb deally is a flame arrestor.
Can't tell if a cat is on the other side though.

Okay, I'll differ to Versy... The only Harley muff's I've seen with that coil in the inlet said CAT equipped...
Regardless... I've installed 2 like that... and test ridden them... and did not notice any performance reduction...  (they did blue a little at that point, but yours seem to have an additional dress shield to account for that)...
Heck,.. you have them...
I'd install it...

I love to pick on the Harley crowd.. (although I now own one)...
... but, Harley makes good pieces... with great quality chrome...
... and those Shorty's that so many Harley guys throw away, are nice mufflers...

...(I clean my Sporty muff with 000# steel wool,...try that with a Jap muff and it will scratch)... my Savage Sporty hasn't scratched in 20k miles...
That's good chrome...

Update: finally got around to mocking up the install tonight. here is what I did.

1) needed a bracket to mate up rear mounting holes. proceeded mock up without it. it was a mock up...
2) had some foil hvac tape and wrapped several loops for the needed thickness where the two join. wow, what a great alternative to cutting a can.
3) cranked it up and wow...sounded great. adjusted idle and ran up and down the driveway and still enthralled at my success.
4) decided to take it out for a short run. preparing to exit the driveway i noted some smoke at the joint but chalked it up to wd40 i dripped on it.
4) pulled out on the road all excited to show off my new sound to the two deer i almost hit pulling in the driveway today.
5) as i rolled through first gear and got into second a little harder to really hear her scream, the muffler shot off like a rocket rolling down the road...and the bike really got loud!

Well, what had happened was...the glue in the foil tape was melting into a hot, slippery goo (hence the smoke) and the first good gush of pressure coupled with the vibration pulled it right off the bike. skinned it all up.

Luckily i bought a pair and I have a nice, pretty one to reinstall.

Lesson learned...the foil tape maybe isn't the best idea and DO NOT ride without the rear bolted in place!!!!!! I am lucky it didn't roll under the rear tire and cause a bad accident.

Modern catalytic converters are molded into honeycomb structures.....like the one at the entrance to the pipe you have.  They have a lot of surface area in a very small package.  Early catalytic converters had pellets that looked like "Bean Bag Chair" stuffing....and they would rattle when you shook them.

Yes you definitely need a rear support.  Not only to keep the muffler from working it's way off the header pipe - but also to support the weight of the muffler and header.  You don't want all that weight being supported by the joint/gasket/bolts at the cylinder head - when you hit a pothole the weight and lever arm created by an unsupported muffler places an incredibly large force on the header pipe and cylinder head.

The chrome shield made to fit over the muffler can is a very good idea for a cat muffler.  The catalytic converter gets much hotter than a stock muffler, and that is why the chrome turns blue....it is very hot!  Even for the stock muffler the shield is a good idea if you have a passenger.  I never ride in shorts and I never let my wife ride in shorts - but a hot exhaust pipe can make a nasty burn and a lasting scar.  I have had 3 major burns from hot chrome exhaust pipes, and they took years for the scars to fade away.

Here are a few pics of the bracket and a few things before the install.

Here is the bracket I made.  I welded two 1/4" bolts to one end to mimic the bolts on the original muffler that went through the frame mounting holes. I then drilled two holes to bolt the bracket onto the muffler.




Here is the bracket bolted onto the muffler.



Here is the soup can (cream of mushroom to be exact) to be used as the gap filler/crush seal.



I couldn't find a better clamp at the auto parts store, so I cut the screw off of a 4" hose clamp and wound it up inside the factory clamp and it was enough to fill the void allowing it to clamp the smaller dyna muffler onto the pipe.



Finished product with the heat shield that came with it. (sorry for the dark photo...it started getting dark on me).



Overall I was pleased with the process and learned a few things, mostly thanks to this forum and everyone's advice.  I did not need to rejet and just adjusted my air/mix screw and she seems to be running great. A little snap/crackle/pop here and there when you really get on it or decelerate quickly with it in gear but I kinda like it and I think that is to be expected.  It isn't really loud, which is what I wanted, so if LOUD is what you are going for seek an alternative.

If anyone else is trying to install this same model/style muffler and I can be of assistance with more details on my bracket just let me know.

Thanks, forum!

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All be it my favorite, it was unfortunately used in chicken and rice. Boo....