Can't speak to the battery powered track saws, don't have one. I do have a 20 v 6 1/2" Dewalt and I love the convenience. Having said that, if I'm using dust collection, I have a power cord Velcro wrapped to my 36mm hose, so there's no need for batteries.
So for cutting up Baltic sheet goods:
1) some type of track saw (I use a TS 75) - depending upon how much you want to spend - Malfel 55 at the top, Makita SP6000J at the bottom, with Festool TS55 or 75 in the middle.
2) If you go with a Festool saw, then get 2 of the FS1400 rails - one comes with the saw; sounds like you might be making cabinets, so I would "up-grade" without added charge to the holey rails and also get the LR32 shelf-hole drilling set. With 2 of the 1400 rails combined, you have 110" of track, allowing you to rip a 96" sheet - if you don't mind starting with a plunge cut (use the anti kick-back fitting that comes with the saw). Rails can be joined with either the Festool or Makita (better in my opinion) rail connectors (you need 2). To ensure total linearity of the 2 rails I also use a Betterley SLC23 straight line connector to aline the rails while joining. With the 2 rails you can rip and cross-cut sheet goods.
3) For a cutting surface there is nothing like the Festool MFT/3 tables. There are as many opinions as there are woodworkers as to whether you get the complete table or the basic table. Were I to do it again, I'd get basic. With 2 tables you can set them up side by side or end to end. I would do my cuts on the table surface supporting sheet over-hand with 2 or more saw horses each having a working height of 900 mm (the working height of the MFT/s.
4) For squareness, I would recommend a combination of short and long Qwas Dogs, Parf Dogs, Rail Dogs, or the like. These allow 90 degree, and 45 degree cuts (though I've never tried it, theoretically with the square spacing of the table holes, 30 degree and 60 degree cuts should be easily done). and
5) To ensure squareness, I would recommend at a minimum a great square like the Woodpecker 1281. I also use the Anderson phenolic plywood square (my go-to tool of this) and a Woodpecker 26" square.
I apologize for the long response, but there are a few additional incidentals which you will also find useful, such as the Festool Parallel Guides, to aid in making parallel cuts.
Hope this helps.
DrD