Good point about my list of weapons, General Nuke Em. I don't think I'm lacking in the anti-infantry department, though. I still have plenty of multi-lasers.
I have stopped doing calculations along the lines of "doing something" to vehicles. I now tend to base them on destroying the vehicle as this takes into account the difference in severity of glancing and penetrating hits. It's not perfect but it gives a good indication.
You are right about the battlecannon being less likely to hit a small vehicle. However, there is still a chance of glancing AV10 with the halved strength. This won't make up for the reduction in accuracy but it is at least some compensation.
It seems that your list has similar problems to a traditional static force in terms of capturing objectives. The transports do help to make up for some of this but at a cost of anti-tank and (depending on speed) anti-infantry shots.
In terms of firepower, I like it. You anti-infantry is mobile which makes it hard for the enemy to hide. However, I can't help but think you have gone a bit overboard on the anti-tank. I would recommend swapping a couple of those lascannons for missile launchers and/or autocannons. Lascannons are wasted on light tanks and S<=6 is not effective enough.
Of course, what I really recommend is to drop some of the big weapons entirely and line up into neat ranks.