Kinda late to the party but here we go!
First off, the possible quick fix, check to see if the Floyd saddles are in the correct radius.
I've seen guitars straight from the shop with misconfigured saddles resulting in an awkward radius.
Definitely a possibility of error from the manufacturer/ QC tech / etc.
Floyd top lock nuts aren't recommended for filing, if you do and go too deep, your strings won't lock from the locking pads.
To adjust the correct string height, you can do what
@Romo82 has said with shims to balance the height/radius correctly.
The other alternative is to file down the nut shelf with a flat file/ sanding block, being very critical you don't sand too deep,
or sand unevenly which will result in more problems.
Floyd conversions to strats could potentially work with a routed non-fine tuner Floyd with locking tuners.
This configuration is very similar to Guthrie's Charvel signature model. The problem with adding a Floyd nut is the lack
of space for it on top. Don't get me wrong, people have done it in the past, and still do. But problems can occur from
tuning instability, and altering the scale length, resulting in bad intonation. It's "possible" but a skilled luthier with the
proper tools would need to do the job, but even then I always thought it looked weird with those conversions.
The alternative drop in trem for strats that I've seen many players use would be the Vega Trems. Pricey, but they look
like a lot of fun! Allows you to do full dive bombs, pull ups without the need of any drilling or hard work. Tuning stability
would vary depending if you have locking tuners, greased up string tree's/nut etc.
Hope that helps!
