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OK, but how about the 7...Bh5 line that I quoted above?

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I can find no fault with this analysis...yet

But, what is the problem with :
1)d4 d5 2)c4 e5 3)dxe5 d4 4)Nf3 Nc6 5)Nbd2 Bg4! 6)a3 Qe7! (6)...Nh6!? is an other idea !?)
I didn't find any big problem for black with this plan !?
For example :
7) h3 BxNf3 8)NxBf3 OOO 9)Qd3 Nxe5 10)Qf5+ Nd7 11)Nxd4 g6 12) Qa5 Ne5!? (12)...a6!?) or 12)... Nb6!? are interesting as well ) and white has to be very carefull !
Any comment ?

First I want to state, that I will be glad if the Albin's is playable - I have played it several years.
5.Nbd2 f6 6.exf6 Nxf6 7.a3 Bg4 8.h3 Bh5 9.g4 Bg6 10.Bg2 Qe7 11.o-o o-o-o (Raetsky/Tsjetverik) and now 12.b4 gives White the better chances.
Is the White king really that unsafe?

I think the Albin is  playable as 5.Nbd2 is the only critical line I have discovered (how many people know that) and Pruch'a plan is the only viable way to play the Albin (ans virtually no one including Raetsky et. al. know that)   By "playable, I mean no slightly disavantaged endgames by force and good tactical chances over the board.  Objectively, White is better in these main lines of course, but this is subjective, "who has studied their combinations the most" chess.

Raetsky's 11...O-O-O is a common blunder.  You can only castle Q-side in the Albin when White has made a series of unnecessary defensive moves which clearly hasn't occurred in this line.  Instead we must (pro Prucha) castle K-side so: 10...Be7 11.O-O O-O 12.b4 Ne4! planning ...Bf6 and the position is getting Albiny.

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In your line after 7.a3 Bg5 is a standard Albin move which thwarts 8.Nb3 which would win Black's d-pawn contra Prucha (I have no idea why "theory" prefers 7...Bf5 once 7.a3 has made ...Nb4 impossible and ...O-O-O in that same line is contra Prucha).  So 7...Bg5 is necessary if one hopes to stick to the Prucha plan.  The most direct counter to this idea appears to be 8.h3 when 8...Bh5! lets White decide if he enjoys not having a safe place for his King for the pawn after 9.g4 Bg6 or fall further behind in development after 9.b4 Bd6!  I don't see how White can avoid coming under an attack in either case which is just what the Albin orders.

Czech Master Karel Prucha offered the following principles for the Albin player:

The Albin is playable only as a pure gambit, i.e., superior piece activity vs. material.  Therefore no ...Nge7-g6 to win the e-pawn but instead ...f6 and:

1) after ...f6, Black must castle K-side(!);
2) keep the d-pawn at any cost, so ...Qd7 to add a defender to d4 with ...Rd8 as well allow ...Bh6 to thwart white's Q-side fianchetto;
3) dark squared B to c5 which means that if White plays a3 then ...a5 is necessary to stop b2-b4.

If Prucha is right, this suggests that in the critical line 5.Nbd2, 5...f6 is the proper move.  Black cannot allow Nb3xd4 on positional grounds (e.g, even if he wins the e-pawn black will stand worse after the d-pawn is exchanged).  After 6.exf6 Nxf6 black castles K-side with a potential attack there as well as potential pressure on white's backward e-pawn.  What y'all think?

Perhaps this will provide the ray of sunshine that can chase one's gloom away    As Alumbrado pointed out early in this thread, Angus Dunnington recommended 5.Nbd2 in "Attacking with 1.d4". He uses as his main line the game Goldin-Mengarini, New York 1991, which continued

5...Bg4 6.a3 Qe7 7.h3 Bh5 8.Qa4 0-0-0 9.b4 Kb8 10.g4 Bg6 11.Bb2 Nxe5 12.Nxe5 Qxe5 13.Nf3 Qe4 14.Bxd4 c5 15.Be5+ Ka8 16.Bg2 Nf6 17.0-0 Qxc4 18.Rfc1 Qe6 19.bxc5 Nd7 20.Bd4 Qe4 21.Ne5 Nxc5 22.Rxc5 Bxc5 23.Bxe4 Rxd4 24.Bxb7+ Kxb7 25.Qc6+ Kb8 26.Qxc5 1-0

While that game seems pretty convincing, Raetsky & Chetverik, in their 1998 book "Albins Gegengambit", suggest 11...f6 as a possible improvement. Their main line runs 12.exf6 Nxf6 13.b5 and now, rather than their 13...Ne5, I think that Black should play 13...Nd7 with the idea of 14. bxc6 Nc5 15.Qb5 a6 or 14.Bg2 Nc5 15.Qd1 Nd3+ or 14.Qd1 Nce5 15.Nxe5 Nxe5 16.Bg2 Nd3+.

Another thought, how about 5.Nbd2 Bf5 6.a3 Qe7? It might be worth a go... now 7.g3 doesn't seem so good for white, and the pressure on the e-pawn seems enough to give black a playable game...