I need to change the thickness of the material called for by the plan

Went to town today to pick up the materials for the outfeed table I want to add to my saw.
The plans are from the Feb. 2009 Woodworker’s Journal.
I will be making my version a little bit wider and longer to fit my saw.

The plans are reproduced online here:
http://www.rockler.com/how-to/building-outfeed-table-mount-table-stand-support

The drawing is here:
http://www.rockler.com/wordpress/wp-content/uploads/2013/03/instructions-for-building-an-outfeed-table.pdf

I was able to get some laminate scraps from a cabinet/counter top shop.
Then, I went to HD for the wood.
I got the MDF board and the lag screws, no problem.
Then, I began to look at hardwoods for the the rest of the needs.
The only 3/4” thick hardwood I can find anywhere in town is a very nice looking dark mahogany.
My view is that I’m making a tool not furniture.
It’s a waste to use the mahogany for this application.
Although, it would look nice!

Everything else, oak [my preference], poplar, maple, etc., is 1” material.
Granted they’re almost the same thickness, only about 1/32” thicker.
The only thing I can see that might be affected in this is the fabrication of the mounting plate.
I will need to laminate pieces together to get the thickness I’ll need for it.

Is there anything else I need to watch out for if I substitute the 1” material for the 3/4”?

-- Every mighty oak is nothing more than a nut that has stood it's ground.