War Hulk + Divine Power exploit - possible?

[Tengu]

War Hulk is here (you have to scroll down to reach it). Instead of BAB, the class gains a Strength bonus each level. However, is there something that stops a level 7 (or more) Cleric of a Large race to multiclass into War Hulk and, by the use of Divine Power, have both the massive Strength bonus AND BAB? And if it's possible, is it really such broken? You gain a lot of damage potential, but you lose casting.

[Kaelik]

War Hulk is here (you have to scroll down to reach it). Instead of BAB, the class gains a Strength bonus each level. However, is there something that stops a level 7 (or more) Cleric of a Large race to multiclass into War Hulk and, by the use of Divine Power, have both the massive Strength bonus AND BAB? And if it's possible, is it really such broken? You gain a lot of damage potential, but you lose casting.

It is possible, though not to powerful.

1) You need to be able to cast lots of Divine Powers because of the short duration.
2) Or Persist, but we know that can be a big deal anyway.
3) Honestly it's better if you just build a straight combat character into Warhulk, and then have either a Wand, or a Friendly Cleric cast it on a Ring of Spell Storing. A lot easier to convince him to do it when you gain more from it then he does.