I'm afraid there is no easy way to do this. You need to work through the permission schemes to work out each rule and then add your user to the appropriate group or role. (Note - I recommend the use of roles as they let you have simple permission screens and allow you to add users to specific multiple projects quite easily from their profile)
We had a similar situation for a limited number of users. We created a special group and added the users to that group. We then gave that group permission. You still need to touch every permission scheme or project(if giving the group permission via project role), but only once. I'm sure you'll end up needing to change who gets the special access.
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