My ride didn't get squishy but I also went from 17" to 18" wheels. The ride got a bit softer, but only a fraction so and just enough to make the ride better.
As for flats, buy very high quality tires and you'll already minimize that as a possibility. And I'll just call AAA, but I'm a member because of all the old cars I own.
Lastly, yes I very much dig all my toys. They all get driven regularly and without fear. If I'm on the highway, I'm usually passing everyone - regardless what I'm driving! Just my way...
2010 BMW 128i M-Sport
1969 Porsche 911S Targa
1971 Mercedes 300SEL 6.3
1971 Chevy Suburban 4x4