I'll do it like this.
1. Does your ideal form of government have a constitution? If it does, what absolutely must be included in it for you? No.
2. Is it a representative democracy or a direct democracy, or benevolent monarchy, or an elected and constitutionally-limited liberal monarchy, or a military police state dictatorship? Direct democracy would be closest. Essentially, it would be similar to a tribal system on extremely small levels.
3. Is it fascist, corporatist, feudal, capitalist, mercantilist, socialist, or communist? Closest to pure communist.
4. Is it federal or unitary or confederate? Closest to confederate.
5. Is it parliamentary, or presidential with checks and balances and a separation of powers? Neither.
6. Is there a unitary executive, or two co-presidents for executives, or perhaps a triumvirate of executives, or some other number? Perhaps a cabinet elected on the national scale? Tribal leaders, again at very local levels.
7. How many lawmakers are there? One? Five? Or does each state/province/district get an equal number? Or does each state/province/district get a number based on their population?
Or perhaps lawmakers are chosen based on recognized demographics instead of a people in a particular territory (ex: a national representative for all blacks, a national representative for all whites, a national representative for all jews, a national representative for all atheists, a national representative for all women, a national representative for all those disabled, etc.)? The individual tribes would decide who their leader or leaders should be.
8. If there is body of lawmakers, is it unicameral or bicameral or tricameral? No.
9. Are lawmakers and executives and judges appointed or elected, how are they appointed/elected, who appoints/elects them? If people vote them in, what are the qualifications to be a voter, or is there universal suffrage? Are there term limits? No.
10. Is there freedom of religion and separation of church and state, or is it some form of theocracy? Complete freedom of religion (or lack thereof) within tribes.
11. Is there freedom for an independent media, and for freedom of speech/movement/assembly/petition? Yes.
12. Is there civilian control of the military? There is no military.
13. What is the legal status of political parties, are more than one allowed? No political parties.
14. If there are democratic elections, are they publically-funded? There aren't, so no.
15. Is there a respected right to Privacy, and a respected Due Process of law? Protection from torture? Protection from the Death penalty? Protection from Slavery and other involuntary servitude? Protection from Discrimination in the workplace, housing, marriage, adoption, medical treatment, etc.? Yes to AOTA
16. How much influence does government have in areas like social security, housing/shelter, food, healthcare, education, childcare, infrastructure, resource/environmental management, working conditions and wages, consumer protection, job creation, etc.? Essentially, programs like social security/medicare/medicaid/etc. wouldn't exist because the system of wealth would be, say, apples instead of a paper currency, rendering those types of programs useless. All healthcare, education and other similar needs would be taken care of by a group effort.
17. What is the tax structure like? No paper currency = no taxes.
18. Is one component of society valued over another? (examples: Educated over Uneducated, Rich over Poor, Property-owners over non-property-owners, Majority over Minorities, one Gender over the other, Straight over Gay, Old over Young, Able over Disabled, one Race/Ethnicity/Territory over the others, or certain Families/Bloodlines over the others, etc.) Absolutely not.
Kudos to Starwatcher for these.
Also, I'd like to echo this:
The "ideal" government is one that is stateless, classless and with full equality of outcome; but that's more of an ultimate outcome rather than something that can be imposed at will.