While you do hear the bass through walls more easily than the rest of the sound, it doesn't mean it passes right through... The frequency cutoff for a sub is usually in the hundreds of Hz, sometimes as low as 120Hz like the Klipsch systems, sometimes as high as 250Hz or more for systems where the sub has to make up for the satellites having really tiny speakers. I'd guess that when your neighbor plays the stereo loud, you probably don't hear much of anything above 70-80Hz or so. (unless they've got it really pumped up.)
Besides, most arcade systems don't have all that great of a speaker system, just a couple decent cone speakers under the marquee. The positions of your speakers are more important than the other factors. Have a friend hold a couple of speakers in various positions in front of you while you stand and listen, and see what position sounds good. Personally I like them above and in front, so they make an equilateral triangle with my head. Wider expands the sound towards having a "stereo hole", and closer contracts it until it becomes mono. Driving games made a cool audio effect by putting the speakers right behind your head, in the top of the seat. Depending what your panel and cab look like, you could even put them behind the machine facing the wall so they reflect the sound off it and to your ears. Also, a subwoofer feels most powerful right in front of its bass reflex tube (that's the tube you mentioned Slycrel). If that is close to you while you play, you'll feel the vibrations more. You also might not have to turn the bass up as high, so you'll bug the rest of your house less while you play.