Time for new wheels and tires

My wife and I just picked up a 72 Demon that currently has drag tires on it, with the fronts being only 4” wide. We need to replace all 4 tires with radials. I was looking at a few members rides and combinations and am in need of direction on how to find the right combo for us. We like the look of 14” wheels up front and 15” wheels in the rear, but I’m afraid of them rubbing. Is there any way to measure exactly what the tolerances are on the car? (Posted picture is just for an idea of what it looks like currently but I’ll get a better shot tomorrow of it from the side)

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What do you mean by drag tires?

What's wrong with bias ply?

I've never heard of 4" wide front tires. What size and brand are they?

I'm further confused by you seemingly wanting to improve handling yet running a 14" front and 15" rear.

Is the car big bolt pattern or 5x4"?

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Now in my humble opinion.... you have a nice set of wheels. If I were to do anything, which depending on your answers above I may not, I may wrap them I new rubber. 14's don't belong on the car. They don't belong on anything other than a resto and are a waste of time and money. 14 front/15 rear is awful and a stagger IMO doesn't look good on these cars. But alas.. it is your time and money. But clearly by the picture you could spend it more wisely.