It looks like once a mod updates mhcarver's vote that this is evenly split.
As Provolution has been the only "dutch first" proponent to post some significant reasons I will take this opportunity to try and convert these into objectives and analysis and then contrast this with my own views of "india first".
Provolution's (assumed) objectives:
1. Stop Swiss Mercs by denying Iron.
2. Get expansion room for us and clean up borders.
3. Get Wine Monopoly.
4. (implied) Hurt Dutch ability to expand.
Stated Tactics: Get a MA with India execute dutch war.
My (mostly unbiased) Analysis: Indian alliance would allow us to sweep North and capture first the close dutch cities and eventually the northern dutch city of Utrecht (sp?) to deny the Iron. Swords would need to accomplish the first cities and fast units (horsemen) would need to be produced to catch up and assist in the later assaults. Our Indian ally would go against the Dutch capitol and western cities. The best case scenario to accomplish this is 12 turns, based on the time to walk from our borders near Gronigen to Utrecht. My realistic estimate is that our troops will likely need to heal and regroup after intermediate objectives and it will take at least 16 turns to capture Utrecht.
My (admittedly biased) critique of Provolution's 10 points:
1. Indians are peaceful and not pushing demands on us
While it is true that India is currently peaceful, this will not last as we have aggressively settler Bentley to take their Iron. It will only be a matter of time before they turn aggressive.
2. The Dutch has more cities and spreads much faster
They are starting to run out of space except for the Northern desert, mountains, and jungle/marsh. It does not hurt us for them to expand in that area as it will contain the Chinese until we are ready for them.
3. The Dutch UU, the Swiss Guard is closer in time and as tough defender as Muskets
Even with an India first war we will be able to turn on the Dutch in about the same timeframe as we could deny Utrecht to them.
4. We are hemmed in by the Dutch, we already got Oxford isolated
We are also hemmed in by Lahore to the East or Oxford. India has also settled to the south of us in the Tundra.
5. Our expansion east is blocked by encircling Dutch cities
Also blocked by the Indians.
6. Dutch share the seafaring trait, and their agriculture counter our commerce
The seafaring trait is not going to provide significant benefit to either us or the Dutch in the short term due to the need tobuild harbors and the pangaea map. Their aggriculture benifit will soon be more limited as they run out of prime land.
7. To get cleaner borders we must take the Dutch first
No, to get cleaner borders we must take out the dutch, but it doesn't have to be first.
8. The wine-monopoly requires Dutch first (We can trade India now)
Same as 7. It doesn't have to be first.
9. An Fanatannian Indian Alliance could very well win the Dutch war
Yes, but this will leave India in a much better position than they are now. We will just have another major AI to deal with next.
10. Dutch first gives us time to take out India prior to War Elephants.
I wholely disagree with this point. The Dutchwar is likely to be prolonged and although can leave us in a stronger position is also likely to strengthen the Indians. This will jeopardize our ability to take out India prior to War Elephants.
My (also biased) comparision of the 2 potential wars:
India first: Timeline: 6-8 turn war capturing Delhi, Bombay, and possibly Calcutta. Will significantly weaken India while leaving the Dutch in a near status quo. Will allow us a chance to harden our troops prior to a Dutch war. Will allow us to position our troops for a strike at the Dutch core with little delay. We could strike at the Dutch capitol as early as 14 to 16 turns from the start of the Indian war.
Dutch first: Timeline: 14 to 18 turns with capture or auto-raze of 4-6 Dutch cities. Will weaken the Dutch while the Indians gain strength. Will leave hardened troops to the far north and thus out of position for a followup attack on India. We leave the Dutch capitol either alone or in Indian hands.'
Final Analysis: A war with the Indian's only strengthen's our ability to attack the Dutch while resulting in extremely little delay. It would be foolish to not take the few extra turns needed to secure our flank and position our troops for a quick decisive war against the Dutch.