No! Do not chop the original. You already went this far restoring it.
Buy the bottomless one for your machine, sit around and wait for the right sized basket for your original to pop up. That is my vote.
In my experience bottomless brews do not taste the same either.
I wonder if a slightly oversized 54mm basket insert can be found and ground down a tad, just enough to fit, (something I never tried.)
I don't fault you for wanting to have a machinist do it for you but if you want to do it yourself this is my experience.
For all the work you will put into chopping your hard to find and get portafilter you might as well buy another more common, plentiful, cheaper (in price not quality) 54mm portafilter and put all the work into modifying it to fit your machine.
I would try to find a 54mm that is already bottomless and lean towards carefully filing down the ears to fit your machine. You can use your original portafilter as a model to duplicate.
If they don't make any bottomless 54mm candidates then you would have to make it bottomless also or if it takes your large double basket maybe you can live without bottomless. It would take a bit of research to find the right candidate. I am not familiar with your machine so I can't say for sure if it can be done but I think with all the different stuff out there it's not inconceivable.
Of coures the the most practical way is to buy one already made for your machine which I admit would be relatively costly compared to buying a more standardized one and modifying it yourself.
Consider that the amount of time and work you will put into either modifying (some would say destroying) your original portafilter or modifying another type to work on your machine will probably add up to much more cost (in time and labor) than just buying a customized one.
I have done it myself. I once ordered a "commercial portafilter for Rancilio" and was sent one with the wrong sized ears (too thick) and a rim that was ever so slightly too wide. Since this was a nice thick portafilter compared to the old first of the first generation cheapo original Silvia portafilter (they use good commercial portafilters on Silvia these days but not way back) I did not want to let it go. I ever so carefully filed the the ears and rim (you can always remove but you can't put back what you file away) and got it to fit perfectly, but it was a lot of work. I would choose not to repeat the experience again if given the choice (I should have just sent it back.)
I later made it bottomless as well (using a hand drill with 1/8 inch bit {I made a circle of tiny holes} and file I don't have a machine shop) which I admit was less work than retrofitting it to Silvia but it was still work nevertheless. It is not a full width bottomless though, as I did not want to decrease it's thickness too much (the thickness is why I like it and chose to keep it.)
It does not allow taller baskets to poke through the bottom but I made it bottomless to observe the flow and get bottomless flavors (yes bottomless does change brew characteristics) not to accomodate bigger baskets (it would be nice if it did but I could live without it.)
I still have this portafilter. It is currently the thickest portafilter I own and it fits my Brewtus.
Of course if you have access to a machine shop and enough machinist skills the above issues may be moot and simple as pie.
Maybe you can have a machinist modify a more standard 54mm portafilter to fit your machine using your original portafilter as a template and perhaps even your machine to test its fit. If it spurs the machinist's curiosity enough he may want to do it.
Would that cost too much more ?
Here are some pics of my chopped portafilter note file marks on bottom of ears and rear of rim near handle.




Note triple basket can not poke through bottom


Note the thickness of my modded portafilter compared to the fully cut portafilter that came with the Brewtus. This is a good example of the thinness of your typical full cutout bottomless portafilter.


Now with the standard fictional "LM Ridgeless" double basket there is no problem with fit


Of course with Brewtus's temperature controller and bigger thermal mass the heat retention of a thicker portafilter does not matter as much as it probably did with Silvia.
Does it matter with Pasquini Livietta ?
I still have a fondness for the nice thick bottomless portafilter and now that I think about I am going to start using it on Brewtus again for pulling shots rather than just back flushing just to see if there are any differences however small (again.) I never did figure out what machine this portafilter was originally made for.