Those look like Klipsch Heresys. Not very good speakers. Much of the music you like had a tipped-up upper midrange, and that would risk sounding very harsh on speakers that have an erratic response, like the Klipsches. If you are really after enjoyment of the music rather than a showpiece of vintage design, I would skip a tube amp, and I absolutely would not go for a turntable system unless you already have a record collection. A turntable plus a tube amp equals high distortion and low fidelity.
The speakers will make that harsh music even harsher. Turntables can sound very good, but they require careful set up and maintenance. They do not equate to high distortion. Tubes are more problematic but they can also sound very good. The problem is that they are an unnecessary expense in outlay and maintenance. In addition has they are a high impedance source device. So you have to choose speakers carefully, or else they will follow the impedance curve. That is why speakers of the tube era did not have wild impedance curves, and Raymond Cooke of KEF used impedance correction in his crossovers.
I think the only reason to get into vinyl now is if you have a collection, as I do, or the music you want is only available on vintage vinyl. If the latter, then a treasure hunt is required. I have added to my vinyl collection very little since the mid eighties.
Then there is the question of the museum aspect. I do maintain good vintage equipment with this aim in mind. I recently had my tube Quad 22 tube amp restored.
I bet if I also restored the Mullard 10/10 tube amp I built as a child I used with the Quad 22, that would also sound good. It would not be high distortion. To do that I would have to have custom power transformer made for 120 volts.
One of the problems now is that there is a dearth of good solid state solid state amps at reasonable cost. Again that is an area where going vintage makes sense.