You should look into Applied Energistics or preferably Logistics pipes.
What a highly useful answer after the OP specifically wrote "I don't want to use mods like AE or Logistics Pipes".
@OnmyojiOmn: what frederikam really meant to tell you is that if you want to do inventory management, you need to use an inventory management tool - you can't expect that to magically happen by itself. There are several ways you can do this with either vanilla or various mods that are not really dedicated to the task, but they are all very cumbersome. In addition, the ACT makes things difficult because it will simply yank all available resources towards itself and begin crafting with reckless abandon, so you need a solution that only starts transporting the resources on a redstone pulse instead of using the redstone pulse to request the item to be crafted.
For example, using vanilla only, your solution would be to build 9 droppers in a line pointing at 9 hoppers in a line that all feed into the next hopper and the last one feeding into the ACT. Then wire a button up to the droppers, and preload each dropper with a large amount of the item it needs (there are 9 droppers because that's one for each slot in the crafting grid; you may not need all 9 at once for every recipe but this is an example). Now when you press the button and cause a single redstone pulse, each dropper will drop one item out of its inventory into the hopper in front of it, which funnel all the items along the line into the ACT, which then uses the ingredients to produce exactly one item.
Now, if you had a recipe that is made up of many individual parts, you could have it simpler - just preload the ACT itself (or adjacent inventories, which it will pull from) with a large amount of all resources except one. Then all you need is one dropper providing single pieces of that last missing resource; a good example would be crafting pistons, where you just keep unlimited wood, cobble and redstone in stock but control adding single pieces of iron with a button press. However, this does not work with recipes like sturdy casings and machine blocks, which are made of only one single resource. For those you need a solution to insert batches of 8 <item> at once, and that means 8 droppers (at least as far as vanilla is concerned).
And since you have a whole chain of ACTs, you obviously need to wire your button up to multiple banks of droppers so that every stage along the assembly line receives enough resources to complete the entire cascade.
A mod that was flat-out amazing at providing specific sets of items on single redstone pulses was Redpower2; no other mod has really replicated that level of inventory management yet. It could have done everything written above with a single block, some tubes and some paint, for arbitrarily complex systems... But unfortunately that's not available in 1.5.2.