Rosacrux redux

Achaean league: Pike phalanxes, light infantry (mostly peltasts)
I would not be so definite. Before Philopoemen’s reform of the Achaean army it seems pretty clear the bulk of the Achaean army was either peltasts or ‘medium’ infantry using a thureos. After Philopoemen, besides a heavy infantry phalanx the Achaeans also clearly deploy heavy cavalry (drawn from the league) and light ‘Tarantine’ cavalry (mercenaries?) as well.

few hoplites, mostly mercenaries (peltast and peltast-likes).
That’s a bit of an understatement. Considering how substantially the Athenian citizen body had been reduced after the Lamina war, the force 1000 select hoplites Athens maintained was not exactly a few. A relatively small force compared to the past, but they were certainly high quality hoplites who served with distinction under Demetrious in his battles and against the Celts.

The police forces (always mercenaries) also got a share of the public fund - some times, when the Demos refused to renew their contracts or tried to reduce payment, the mercenaries would get arms against their employers
I don’t understand why you asserting police forces were always mercenary. Given Athens provides the only really solid example, what were the dockyard guards, the ehebes, and the cavalry; but citizens and all doing what you might call police duty.

The city states contrary to the popular belief, had sources of taxation, direct or indirect. In Athens, for instance, the bulk of the taxes (we are not counting the sponsorhips, the "therorika" and the other indirect taxes - those were furnished by wealthy citizen with full rights) was amassed among the "metoikoi", the inhabitants not of Athenian blood and not with full rights.
I can’t agree with your example, an Athens or a Rhodes was the exception: they had the commerce to support harbor taxes and the large metric populations to tax, luxuries most polis lacked.

Kraxis

it was the tactics of Phillip that resulted in the onesided affair.
What onesided affair? The Macedonian battle mound at Chaeronea was rather large. Diodorus is clear the battle was long and could have gone either way. It was Philip’s diplomacy that won the war not his tactics. In the Lamain War Greek hoplite armies won 4 of 5 battles and fought a hard loss at Crannon even though they were massively outnumbered.