I know Angela and a few others will disagree with me, but it IS possible to have too much power FOR THE CHASSIS.
My 1500 pound Spyder with 170-180 hp is right on the edge of the above statement. Somewhere between 8-9 pounds per horsepower. Any more would overpower the trailing arm front and swing-axle rear traction that's available. There are a few things that make it work though. Space-frame chromoly tube that doesn't flex. Gearing. Massive non-fading brakes. Rear suspension travel is limited to prevent tuck-under(positive camber). Correctly valved shocks and shock settings. Swaybar. Alignment, tire pressure and CORNER BALANCE(very important). The seat-of-the-pants feeling and seat time at the limit are also a factor. The 45/55 F/R weight distribution of the Spyder helps too, reducing the pendulum effect of a Speedster.
I think the only Speedster in the same ballpark is Scott's superlightweight. And maybe the aluminum-subframe car that Alan Merklin built.
The IM-6 is 2400-2500 pounds, still lighter or comparable to an early 911. Beck Speedsters have an advantage here as they end up around 1700 pounds in type1 configuration, only slightly more with a Suby.
No matter what way you slice it, above 110-120 mph, directional control starts to be an issue as these little cars want to start to fly off the road.
Can my little car keep up with modern cars? Yes, to a point. I once spent an afternoon driving VERY hard with a VERY modified turbo Miata. It was putting down 245 hp at the wheels. It had big brakes, big swaybars, and 17" wheels and tires. Aftermarket ECU and turbo. I kept up with my friend no problem, but it was exhausting. We switched places and I led for a while. He kept up with me, but noticed how many corrections I had to make, whereas he was more like point and click through the turns. Arriving at the destination, he was fresh and relaxed, where I had sore arms and shoulders the next day. I think I had more fun. But I really had to work for it.