It really depends how much thinner you're adding to the paint.
If you add water to Tamiya acrylics in the region of one part water to two parts paint, the effects on adhesion are fairly negligible. If you add more than one part water to one part paint, you will start to see separation and beading.
If you use Iso (or Tamiya's own acrylic thinner) you can take it up to about three parts thinner to one part paint and then much past that and it will start to bead and behave like it's thinned with water.
Denatured alcohol will allow you to go much thinner while retaining adhesion - I've taken it to 90% thinner and still had good coverage.
Tamiya Lacquer thinner and Gunze's Mr Color thinner give spray properties similar to denatured alcohol, but with even better "bite" and coverage, but you might not likethe fumes.
*NOTE: Do not thin gloss Tamiya acrylics with water, straight Iso or denatured alcohol, as it will produce a less than glossy finish. Use Tamiya's own acrylic thinner or their lacquer thinner.
Generally speaking, Tamiya acrylics airbrush better when very thin. ie. two parts thinner (or more) to one part paint. I think that many of the problems that people have when airbrushing Tamiya acrylics occur due to insufficient thinning.