You really have to look no further than John 3:16 to know if we serve a choosy God:
"For God so loved the world that He gave His only-begotten Son, that whoever believes in Him should not perish but have everlasting life.
Certainly one can pick and choose those Scriptures that appeal to his tastes, but that's not a sound hermeneutical exegesis. You have to square Jn. 3:16 with Jn 6:44, Eph. 1, and others. kjam22 has apparently struggled with this very thing and arrived at the conclusion he mentioned, of the coexistent presence of free-will and Divine sovereignty.