Being in the form of God doesn't mean that he was God (any more than being in "the form of a bondservant" means he was a particular bondservant); it means that he was similar to God in nature (though not exactly as only God had immortality at that point).Of course they are distinct persons. Father, Son, Spirit are all of God together.
And Christ is in the form of God
The Humbled and Exalted Christ
5 Let this mind be in you which was also in Christ Jesus, 6 who, being in the form of God, did not consider it [b]robbery to be equal with God, 7 but [c]made Himself of no reputation, taking the form of a bondservant, and coming in the likeness of men. 8 And being found in appearance as a man, He humbled Himself and became obedient to the point of death, even the death of the cross. 9 Therefore God also has highly exalted Him and given Him the name which is above every name, 10 that at the name of Jesus every knee should bow, of those in heaven, and of those on earth, and of those under the earth, 11 and that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father.
This can not be ignored.
A better translation (you didn't specify which translation you were quoting from) - Philippians 2:5-8 (WEB):
(5) Have this in your mind, which was also in Christ Jesus,
(6) who, existing in the form of God, didn’t consider equality with God a thing to be grasped,
(7) but emptied himself, taking the form of a servant, being made in the likeness of men.
(8) And being found in human form, he humbled himself, becoming obedient to the point of death, yes, the death of the cross.
(9) Therefore God also highly exalted him, and gave to him the name which is above every name;
(10) that at the name of Jesus every knee should bow, of those in heaven, those on earth, and those under the earth,
(11) and that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father.
If God exalted Jesus then Jesus could not have been God.