I dont see any need for wider tires or mods myself, i like how it works originally. the 560/15 tires are the same size as used on a early style Volkswagon beetle.

I had one of those VW's once, a 1974 with a sloppy steering box,, It ws basically thrashed on a farm and should have stayed there..

the car had issues where I went over about 30 miles an hour the steering would shimmy out of control to the point it was hard to hold the steering wheel. I replaced everything related (it had mcphereson struts) but it wasn't until I changed the steering dampener ( a shock absorber connected to the tie rods) then it stopped the shaking.

I tried tightening that adjustment up . It didn't bind but I found that when I went over a bridge which happened to have a curve.. When all the bearings fell out I had no steering. I had to intentionally veer towards oncoming traffic to unlock the steering wheel ...since it wasn't turning right, I tried going left..
and I guess a bearing fell the right way and I was able to avoid a head on. I went very carefully until I got on a sidestreet at which point I could spin the steering wheel with absolutely no effect on steering..

they are pretty reliable but if you find you have a sloppy steering box I'd check it out a bit more closely.

a chap near me did a demo and showed us how he had modified his nice p1800 with an electric steering system from a newer car. instead of a power steering pump and hydraulics it uses an electric motor. he said it "transformed the car" . i thought it was interesting, At least that didn't add a bunch of non original looking parts under the hood. I'll keep mine as is, I like the old armstrong system.