In my view, and I am sure this will be shot out of the sky...
We already have too many players who can do a "bit of both". None of whom now really get anywhere near the test team.
I am all for Moeen being given a chance, in the ODI or T20 team, however who in the current test side would you honestly say he was better than, at that level?
I think you would struggle to make a genuine case of any of them.
In a Team which James Taylor cant force his way into, with an average of 65, I think Moeen will struggle to get in as a batsman...And in a team with 7 possible seam options, and 3 test worthy spin options... I just can't see how.
Though when you say International player, I am assuming you mean England?