If youre going to use that box for clones, then yes, the light is to strong. If I was going to use it for clones Id just use some T8s. If I was going to use it for seedlings, Id use a T5. It would be much simpler.
The fan I posted will go down to 96 cf/h, which is lower than the fan you posted, which is 185 cf/h. And is much more quiet than the fan you posted. 10db is alot more quiet.
For a 2 x 2 tent all you need is 160w. 2 x 2 is 4 sq/ft, and optimal lighting for that size at 40w sq/ft is 160w.
My Gavita 1700e is 645w, and is good for a 4 x 4 area. 16 sq/ft. 645w divided by 16 sq/ft is 40.3w sq/ft. You could buy the EasyGrow S250, and dim it.
Ive been rooting clones with T8s since the 70s. I used to grow with 8ft SHO T12s in the mid 70s, before there were HID used for growing.
I myself start seedlings with either 1000w Hortilux HPS, or the Gavita 1700e at 24 inches. I blast mine from the beginning. Though I dont use a tent, and I have airflow like its outside. If you dont have good fresh air exchange, youre asking for problems. Especially if you use really strong light.