As Kabuse was saying, you want to minimize the number of switches between 75 ohms and 50 ohms since there is a loss every time you switch. The losses are around 0.2dB per mismatch and can add up quickly if you get the wrong parts and switch the impedance more than necessary.
The Antenna has a N female connector.
The 1090MHz band pass filter is rated at 50 ohms and has sma male one side with a sma female the other side.
For cabling you can choose from:
RG-6 and RG-11 has 75 ohms impedance.
LMR-240 and LMR-400 has 50 ohms impedance.
If you use no amp, 50 Ohm cable and an RTL SDR, you will only have one transition at the dongle.
We have tested the RTL dongle with this exact setup. Using the FlightAware antenna with a 50 ohms cable (like an LMR-240 rating) directly into an RTL dongle will get about 160-200NM max range. There is a variation in antenna and cables but you can expect over a 2 times range improvement over the stock antenna.
I used these items to convert the Flight Feeder antenna from N to F for RG6 cabling, add amplification, power insertion, and a pigtail to convert from F back to SMA (Pigtail gets rid of the stiff RG6 cable connection at receiver).
Yes. This would work well as long as you are staying in 75ohms for everything.