Yes, Alpha cards are considered tournament legal in formats where they are allowed, such as Vintage and Legacy.
No. There are cards in the duel decks that are not standard tournament legal.
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No. God Cards are not legal game cards, so cannot be used in tournaments.There are a few legal god cards like ra and obelisk but not slifer not yet
Yes, MTG Conspiracy cards are legal in official tournament play as long as they are included in the current legal card pool for the format being played.
Yes, the only difference would possibly be the artwork on them.
Unless they hit the banlist, they should be tournament legal. I don't see why they're going to release them in a pack and can't use them in a duel. The only 'god' cards that can't be used are the Egyptian god cards but they made Obelisk the tormentor and the Winged Dragon of Ra legal in tournament, it has to be in proto type though.Slifer The Sky Dragon is still banned.
Yes, they are. The Forbidden One pieces are restricted to one each, for both formats.
As long as the card is not on the forbidden list, then you can use it in a tournament. There is no set rotation, cards from every set are legal.
By going into the dueling league and coming in first place in every tournament and using a legal deck with no forbidden cards!
A tournament legal 'cut' is one that divides a deck into two. Even taking one card is therefore a legal cut, it is the cutting into two that matters, not how many. That means cutting into three is not a valid 'cut' for tournament purposes.
Players may use the God cards in casual Duels (however, it would be wise if effects were agreed upon prior to the Duel if you are using the tournament-illegal versions). You may NOTuse these cards in officially sponsored Duels or tournaments (tournament-legal versions may be used).
Yes, the YGO! Movie Promotional cards, including the Sphinxes, are legitimate Konami cards and therefore can be used in tournaments.