If you are interested in achieving live sound in your home I think that your instincts are good, but I’m not sure that actual, pro line array speakers are necessary unless you have a large room and are looking for exceptionally loud volume.
There are other things I would look at first such as multi-amping and active crossovers. At the very least a live audio engineer has separate control over the bass and the mid/highs. This helps in tuning the system to the venue acoustics as well as styling the system to the type of music being reproduced. This would be the same as adding a subwoofer system with an active crossover to your main system in home audio.
The other thing that is very important in live audio is dealing with venue acoustics, by far the biggest challenge, especially for traveling shows since using room treatments is not an option so they have to do it electronically. Also, all of their gear is electronically balance using the AES48 standard. This may not big the biggest difference maker, but is still part of the equation of what makes live sound what it is.
If you still think using line array speakers is the answer I would be looking at Meyer Sound.
https://meyersound.com/product/leopard/
https://meyersound.com/download/leopard-datasheet/?wpdmdl=1992&masterkey=58b9e691f3002
https://meyersound.com/product/x-400c/
https://meyersound.com/download/x-400c-datasheet/?wpdmdl=2535&masterkey=58b9e786b6403