Score all the way through is better than score and snap, less likely to chip, but neither will leave a clean enough edge to glue well. You'll need to file or sand the edge after. And you will need to be careful to keep the edge straight and square.
The thin plexi glues are just a solvent that melts the plexi together. (as has been mentioned, nasty vapors...no skin contact) For them to work well you need an edge that's fully in contact with the surface you are gluing it too. There are thicker glues, which are basically the solvent with clear acrylic dissolved in it, these will "gap fill" to some extent, but the clear glue line may stand out on your project.
The best cut will be from a "triple chip" grind carbide tipped saw blade on a table saw equipped with a zero clearance insert. Better sawblade makers make blades with this grind for cutting plexi, laminate, and aluminium. Remember, for the best cut, the blade should just barely protrude above the material, so as long as the arbor hole is the right size, you can use a smaller diameter blade on your tablesaw for this job and save a little money. If you have an existing blade that's ready for sharpening anyway, and a good local sharpening shop, you might be able to get them to change the grind to triple chip for a modest upcharge over the regular sharpening cost