But you can get pretty close on a budget.
To get you started, this sub-forum has great advice. Search "laserdisc" and "capture".
Some bullet-points:
The X0 is the the bad boy that we all need. The X0 Project had the temporary use of another person's. Last I looked, there's an eBay dude in Japan who can ship you one, when he has it in stock. I think about $7,000. Plus a few hundred shipping (it weighs a LOT).
The expensive ones that are almost-as-good use a lot of antiquated signal processing that softens & degrades the image. Looks nicer than static, when you're watching, but it takes away signal that you want to capture. You want to do the processing in the capture card & software. (The X0 has a bypass path around the extra processing).
So, the next best thing is the V8000 - a cheap industrial model that's built like a stone and skips most of the signal processing. Trouble is, they go for cheaper than the shipping - meaning no one is motivated to test them beyond power-up and play. Most don't test past power-up, some don't even bother with that. You'll find the exact model in this sub-forum.
You might need a TBC (Time Base Corrector).
You capture to a lossless codec. That compresses without artifacts or compromises. Huffyuv seems to be the only one that works fast enough for capture. Then you do your processing steps & compress for dvd. You might store the original capture - it'll take a few discs.
You don't use the word de-interlace. Taboo!
That isn't for film-source. If you use that term, over on videohelp.com, they will think you mean it and give you a lecture on the evils. De-interlace is a destructive process - only for truely-interlaced sources - e.g. 60 field/s videocam footage, or 30 frame/s CGI. You're wanting IVTC (Inverse Telecine). That removes the pulldown (aka telecine).
IVTC is done after capture.
Videohelp & Doom9 are where you go for the various IVTC tools, and not-much-explanation on how to tweak them.
Laserdiscs video is stored as analog, so you want a kickin' capture card to digitize the signal. (The LD analog is a little more complicated than tape's steady analog, but it isn't digital. Doesn't matter how, though, so I'll skip the explanation). There's good recommendations in here.
Citizen did a thing where he captured the disc 5 times, and averaged out the static & interference. That emulates one of the nifty tricks that the X0 does in hardware. There a software utility, called "Toot" that works with 3 captures.