Just by looking at it, (and for the record, I have designed a few recumbent bikes and trikes), the rake on your bike looks really large. This means that you are getting a lot of wheel flopping, which is O.K. on a chopper, but on a trike, not good. The heavy steering is because the wheel is scrapping on it's entry into turns with the contact patch in the wrong area for the trike set up. I wonder why the trike kit manufacturer did not take this into consideration when they manufactured it. A "mule" set up would define what angles would work best for the trike conversion. I built a "mule" frame to set the Ackerman" and Castor and Camber on my bikes. Cannondale bikes (when they were in business, a private company) were so impressed with my recumbent bike, they gave me $3000 dollars worth of parts to help me with my projects. I let them measure up my bike. My recumbent was designed before theirs. I learned a lot about this stuff by actually building them. My trike was a tadpole set up (2 wheels in the front) with dual disc brakes and independent rear suspension, 24 speeds.
Changing the fork angle using different plates, or custom ones could cost some big bucks. If you're committed to this bike, and you really really love this bike, then go for it, turn it into the bike you want. Funny how Harley runs their forks almost parallel with the neck, just a slight angle, with the neck slightly leading on the bottom and back on the top of the neck leading. On your bike, if you reversed it, you would be decreasing the rake. This is just an observation, it's something I would try if everything could line up without anything hitting. A crazy idea, just throwing it out there. Modifying the front end of a bike can open up a can of worms. A custom springer front end might be the most inexpensive way to go, either way you're going to be spending big bucks. Too bad the forks won't slide up a little, that may alleviate the issue a big. I don't know that bike enough to know this, you would have to try and your own risk. I just lowered my ZZR1200 1" inch front and back.
This is a pic of the trike I designed, my "Mule'. I could cruise easily at around 20 to 24 mph on this, I had to machine, and weld a lot of parts for this thing: