The turbo has more power and stiffer suspension so was given wider tyres than the less powerful models. However, 175 tyres are an old size and hard to find now. They were more popular in the 80's, but you'll find it easier to find 185/ 55 (I think) that will give you the same rolling radius. They will also be cheaper than 175's as they were more common.
Chas is certainly right about the 175 size being hard to find! But in NZ, I doubt that 185/55 13 will be available either - in fact I'm certain they won't be

There aren't many new small cars on the market, or at least, the small cars that are around have big wheels - 15" is normal!
You have to go to a real tyre specialist (i.e. not Firestone Direct, Beaurepaires, or Tony's Tyre Centre) to find 13" tyres (apart from 155/80 'budget' tyres - see below)
For 175/60 there's only one brand left (Hankook?) - jjhepburn bought some of the last and also bought Toyo RA1s in 185/60 13, which seem like a good choice for a Turbo - the widest you can go before you rub the gearbox with standard Turbo alloys. Also, the Toyos are just about the last 185/60 13 available since the Bridgestone Conselfa bit the dust a few years back.
175/60 or 185/60 will not fit onto standard Uno steel rims (4.5"). Well, they will go on, but it's not ideal - too much sidewall flex so you won't get the benefit of the wider tread. They only suit the Turbo alloys (which are wider: 5.5").
165/70s are pretty easy to get but they're also too tall (not low-enough profile), being designed to replace 155/80s. They'll rub the arch liners on an Uno and 165 is still a little bit wide for a 4.5" rim. Remember that 135 was the original fit for the base-model Unos - on the same 4.5" rim. 165/70 is OK on a 5" rim and that is what FIAT X1/9 wheels have. Incidentally it can be about the same price to buy a set of alloys + tyres as it is to buy 13" tyres!
Really the only 'proper' tyre for Uno steel rims is the 155/70. You can get these new - Nankang (Taiwan), about $80 each - and they also seem to be coming off certain small Jap imports - Suzuki Alto, Diahatsu Charade? - so luckily, supplies seem reasonably secure. I recently bought four used "Bridgestone Sneaker - Made in Japan" 155/70 tyres - 6mm tread each - for $260, almost certainly off a Jap import. These tyres are designed for shopping-cart wheels, but I'm happy to say that the Uno steering feels 'correct' and there's a surprising amount of grip - tested that today. However, the tyre noise is a bit high. You can't have everything...
On the other hand, 155/80 13 tyres have the 'budget status' of the market, since they fit a few old Toyota Corollas and Ford Lasers (student-transport

) At $50 each brand-new, you don't get much of a tyre. It's not just the profile (height) difference, it's the fact that they're made to be cheap. Often they use a hard compound (for durability) that has next-to-no grip in the wet. The sidewalls don't have the complex bracing of expensive tyres, so the responses (and steering feel) change at different speeds and loads. It doesn't surprise me in the least that you mention more of a wandering feeling (Ralph), I've experienced it myself and even a horrid wobbly feeling on other budget tyres. I won't risk them.
I guess I'm a bit picky these days - I've had some amazing tyres in the past - retreads that came apart, 15-year-old rubber that should have stayed at home when it rained, 185/70 tyres on 4.5" rims, an original Pirelli P1000 135 tyre that blew out, fortunately when I was driving through roadworks near Kaikoura, etc. etc.
The tyres I remember most fondly are Barum (a Czech brand owned by Continental), they seemed to be a quality product: low noise, good grip, fair price. Let's face it, if a budget tyre is $50 and a Barum tyre is $80, that's $30 difference - $120 if you're replacing all tyres at once. What price for safety?
If anyone thinks $80 per tyre is excessive - all four tyres were shot on that Alfa Romeo 166 I had in March. The cheapest replacements I could find (in the 225/45/17 size) were $260 each. The most expensive were $900 each (Michelin).

Part of the problem is that these 17" tyres really ARE better, but they are developed for the sort of 200km/h+ speeds that we can only dream about in NZ...
My suggestion would be to put those 155/80 tyres on the back - though, I was having this discussion just the other day with some people, and the conclusion was that the best tyres should always be on the back of a FWD car, because the back end is hard to catch when it comes around in the wet.
Oh and thanks for the thanks, Ralph

I'm pleased you're going to check/adjust the toe setting yourself - I think you'll notice a difference and it has to be better than wearing out more tyres!
-Alex